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Finding the Fourth Proportional to 23,200.29, 32,005.13 and 13,762.17

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Solution

The fourth proportional to 23,200.29, 32,005.13 and 13,762.17 is: 18,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.29 : 32,005.13 = 13,762.17 : x
  2. Step 2: Convert to fraction form
    23,200.29/32,005.13 = 13,762.17/x
  3. Step 3: Cross multiply
    23,200.29x = 32,005.13 × 13,762.17
  4. Step 4: Simplify right side
    23,200.29x = 440,459,971.12
  5. Step 5: Solve for x
    x = 440,459,971.12/23,200.29
  6. Step 6: Final answer
    x = 18,985.11

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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.