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Finding the Fourth Proportional to 25,133.72, 37,677.90 and 9,540.14

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Solution

The fourth proportional to 25,133.72, 37,677.90 and 9,540.14 is: 14,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,133.72 : 37,677.90 = 9,540.14 : x
  2. Step 2: Convert to fraction form
    25,133.72/37,677.90 = 9,540.14/x
  3. Step 3: Cross multiply
    25,133.72x = 37,677.90 × 9,540.14
  4. Step 4: Simplify right side
    25,133.72x = 359,452,440.91
  5. Step 5: Solve for x
    x = 359,452,440.91/25,133.72
  6. Step 6: Final answer
    x = 14,301.60

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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.