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Finding the Fourth Proportional to 25,309.56, 37,972.20 and 9,516

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Solution

The fourth proportional to 25,309.56, 37,972.20 and 9,516 is: 14,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.56 : 37,972.20 = 9,516 : x
  2. Step 2: Convert to fraction form
    25,309.56/37,972.20 = 9,516/x
  3. Step 3: Cross multiply
    25,309.56x = 37,972.20 × 9,516
  4. Step 4: Simplify right side
    25,309.56x = 361,343,455.20
  5. Step 5: Solve for x
    x = 361,343,455.20/25,309.56
  6. Step 6: Final answer
    x = 14,276.96

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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.