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Finding the Fourth Proportional to 23,428.16, 32,329.22 and 13,354.66

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Solution

The fourth proportional to 23,428.16, 32,329.22 and 13,354.66 is: 18,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.16 : 32,329.22 = 13,354.66 : x
  2. Step 2: Convert to fraction form
    23,428.16/32,329.22 = 13,354.66/x
  3. Step 3: Cross multiply
    23,428.16x = 32,329.22 × 13,354.66
  4. Step 4: Simplify right side
    23,428.16x = 431,745,741.17
  5. Step 5: Solve for x
    x = 431,745,741.17/23,428.16
  6. Step 6: Final answer
    x = 18,428.50

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