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Finding the Fourth Proportional to 23,302.56, 32,164.56 and 15,854.88

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Solution

The fourth proportional to 23,302.56, 32,164.56 and 15,854.88 is: 21,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.56 : 32,164.56 = 15,854.88 : x
  2. Step 2: Convert to fraction form
    23,302.56/32,164.56 = 15,854.88/x
  3. Step 3: Cross multiply
    23,302.56x = 32,164.56 × 15,854.88
  4. Step 4: Simplify right side
    23,302.56x = 509,965,239.05
  5. Step 5: Solve for x
    x = 509,965,239.05/23,302.56
  6. Step 6: Final answer
    x = 21,884.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.