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Finding the Fourth Proportional to 23,774.66, 32,809.03 and 13,164.29

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Solution

The fourth proportional to 23,774.66, 32,809.03 and 13,164.29 is: 18,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.66 : 32,809.03 = 13,164.29 : x
  2. Step 2: Convert to fraction form
    23,774.66/32,809.03 = 13,164.29/x
  3. Step 3: Cross multiply
    23,774.66x = 32,809.03 × 13,164.29
  4. Step 4: Simplify right side
    23,774.66x = 431,907,585.54
  5. Step 5: Solve for x
    x = 431,907,585.54/23,774.66
  6. Step 6: Final answer
    x = 18,166.72

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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.