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Finding the Fourth Proportional to 25,077.52, 37,593.24 and 8,650

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Solution

The fourth proportional to 25,077.52, 37,593.24 and 8,650 is: 12,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.52 : 37,593.24 = 8,650 : x
  2. Step 2: Convert to fraction form
    25,077.52/37,593.24 = 8,650/x
  3. Step 3: Cross multiply
    25,077.52x = 37,593.24 × 8,650
  4. Step 4: Simplify right side
    25,077.52x = 325,181,526
  5. Step 5: Solve for x
    x = 325,181,526/25,077.52
  6. Step 6: Final answer
    x = 12,967.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.