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Finding the Fourth Proportional to 12,502.30, 18,754.58 and 3,617.50

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Solution

The fourth proportional to 12,502.30, 18,754.58 and 3,617.50 is: 5,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.30 : 18,754.58 = 3,617.50 : x
  2. Step 2: Convert to fraction form
    12,502.30/18,754.58 = 3,617.50/x
  3. Step 3: Cross multiply
    12,502.30x = 18,754.58 × 3,617.50
  4. Step 4: Simplify right side
    12,502.30x = 67,844,693.15
  5. Step 5: Solve for x
    x = 67,844,693.15/12,502.30
  6. Step 6: Final answer
    x = 5,426.58

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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.