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Finding the Fourth Proportional to 12,470.70, 18,689.91 and 5,066.57

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Solution

The fourth proportional to 12,470.70, 18,689.91 and 5,066.57 is: 7,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.70 : 18,689.91 = 5,066.57 : x
  2. Step 2: Convert to fraction form
    12,470.70/18,689.91 = 5,066.57/x
  3. Step 3: Cross multiply
    12,470.70x = 18,689.91 × 5,066.57
  4. Step 4: Simplify right side
    12,470.70x = 94,693,643.86
  5. Step 5: Solve for x
    x = 94,693,643.86/12,470.70
  6. Step 6: Final answer
    x = 7,593.29

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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.