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Finding the Fourth Proportional to 23,280, 32,128.32 and 13,345.92

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Solution

The fourth proportional to 23,280, 32,128.32 and 13,345.92 is: 18,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,280 : 32,128.32 = 13,345.92 : x
  2. Step 2: Convert to fraction form
    23,280/32,128.32 = 13,345.92/x
  3. Step 3: Cross multiply
    23,280x = 32,128.32 × 13,345.92
  4. Step 4: Simplify right side
    23,280x = 428,781,988.45
  5. Step 5: Solve for x
    x = 428,781,988.45/23,280
  6. Step 6: Final answer
    x = 18,418.47

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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.