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Finding the Fourth Proportional to 23,892.34, 32,971.54 and 13,281.97

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Solution

The fourth proportional to 23,892.34, 32,971.54 and 13,281.97 is: 18,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.34 : 32,971.54 = 13,281.97 : x
  2. Step 2: Convert to fraction form
    23,892.34/32,971.54 = 13,281.97/x
  3. Step 3: Cross multiply
    23,892.34x = 32,971.54 × 13,281.97
  4. Step 4: Simplify right side
    23,892.34x = 437,927,005.13
  5. Step 5: Solve for x
    x = 437,927,005.13/23,892.34
  6. Step 6: Final answer
    x = 18,329.18

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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.