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Finding the Fourth Proportional to 25,130.56, 37,697.12 and 9,549.44

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Solution

The fourth proportional to 25,130.56, 37,697.12 and 9,549.44 is: 14,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,130.56 : 37,697.12 = 9,549.44 : x
  2. Step 2: Convert to fraction form
    25,130.56/37,697.12 = 9,549.44/x
  3. Step 3: Cross multiply
    25,130.56x = 37,697.12 × 9,549.44
  4. Step 4: Simplify right side
    25,130.56x = 359,986,385.61
  5. Step 5: Solve for x
    x = 359,986,385.61/25,130.56
  6. Step 6: Final answer
    x = 14,324.65

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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.