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Finding the Fourth Proportional to 15,102.44, 22,655.82 and 4,715

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Solution

The fourth proportional to 15,102.44, 22,655.82 and 4,715 is: 7,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.44 : 22,655.82 = 4,715 : x
  2. Step 2: Convert to fraction form
    15,102.44/22,655.82 = 4,715/x
  3. Step 3: Cross multiply
    15,102.44x = 22,655.82 × 4,715
  4. Step 4: Simplify right side
    15,102.44x = 106,822,191.30
  5. Step 5: Solve for x
    x = 106,822,191.30/15,102.44
  6. Step 6: Final answer
    x = 7,073.17

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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.