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Finding the Fourth Proportional to 15,242.12, 22,863.38 and 4,712

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Solution

The fourth proportional to 15,242.12, 22,863.38 and 4,712 is: 7,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.12 : 22,863.38 = 4,712 : x
  2. Step 2: Convert to fraction form
    15,242.12/22,863.38 = 4,712/x
  3. Step 3: Cross multiply
    15,242.12x = 22,863.38 × 4,712
  4. Step 4: Simplify right side
    15,242.12x = 107,732,246.56
  5. Step 5: Solve for x
    x = 107,732,246.56/15,242.12
  6. Step 6: Final answer
    x = 7,068.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.