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Finding the Fourth Proportional to 23,675.76, 32,672.16 and 13,065.48

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Solution

The fourth proportional to 23,675.76, 32,672.16 and 13,065.48 is: 18,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.76 : 32,672.16 = 13,065.48 : x
  2. Step 2: Convert to fraction form
    23,675.76/32,672.16 = 13,065.48/x
  3. Step 3: Cross multiply
    23,675.76x = 32,672.16 × 13,065.48
  4. Step 4: Simplify right side
    23,675.76x = 426,877,453.04
  5. Step 5: Solve for x
    x = 426,877,453.04/23,675.76
  6. Step 6: Final answer
    x = 18,030.15

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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.