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Finding the Fourth Proportional to 19,691.87, 29,543.07 and 8,599.46

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Solution

The fourth proportional to 19,691.87, 29,543.07 and 8,599.46 is: 12,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.87 : 29,543.07 = 8,599.46 : x
  2. Step 2: Convert to fraction form
    19,691.87/29,543.07 = 8,599.46/x
  3. Step 3: Cross multiply
    19,691.87x = 29,543.07 × 8,599.46
  4. Step 4: Simplify right side
    19,691.87x = 254,054,448.74
  5. Step 5: Solve for x
    x = 254,054,448.74/19,691.87
  6. Step 6: Final answer
    x = 12,901.49

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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.