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Finding the Fourth Proportional to 25,116.20, 37,693.02 and 9,564.20

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Solution

The fourth proportional to 25,116.20, 37,693.02 and 9,564.20 is: 14,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116.20 : 37,693.02 = 9,564.20 : x
  2. Step 2: Convert to fraction form
    25,116.20/37,693.02 = 9,564.20/x
  3. Step 3: Cross multiply
    25,116.20x = 37,693.02 × 9,564.20
  4. Step 4: Simplify right side
    25,116.20x = 360,503,581.88
  5. Step 5: Solve for x
    x = 360,503,581.88/25,116.20
  6. Step 6: Final answer
    x = 14,353.43

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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.