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Finding the Fourth Proportional to 15,047.44, 22,575 and 9,539.92

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Solution

The fourth proportional to 15,047.44, 22,575 and 9,539.92 is: 14,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.44 : 22,575 = 9,539.92 : x
  2. Step 2: Convert to fraction form
    15,047.44/22,575 = 9,539.92/x
  3. Step 3: Cross multiply
    15,047.44x = 22,575 × 9,539.92
  4. Step 4: Simplify right side
    15,047.44x = 215,363,694
  5. Step 5: Solve for x
    x = 215,363,694/15,047.44
  6. Step 6: Final answer
    x = 14,312.31

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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.