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Finding the Fourth Proportional to 25,089.06, 37,648.17 and 9,507.90

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Solution

The fourth proportional to 25,089.06, 37,648.17 and 9,507.90 is: 14,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.06 : 37,648.17 = 9,507.90 : x
  2. Step 2: Convert to fraction form
    25,089.06/37,648.17 = 9,507.90/x
  3. Step 3: Cross multiply
    25,089.06x = 37,648.17 × 9,507.90
  4. Step 4: Simplify right side
    25,089.06x = 357,955,035.54
  5. Step 5: Solve for x
    x = 357,955,035.54/25,089.06
  6. Step 6: Final answer
    x = 14,267.38

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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.