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Finding the Fourth Proportional to 16,473.47, 24,712.61 and 4,785.17

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Solution

The fourth proportional to 16,473.47, 24,712.61 and 4,785.17 is: 7,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.47 : 24,712.61 = 4,785.17 : x
  2. Step 2: Convert to fraction form
    16,473.47/24,712.61 = 4,785.17/x
  3. Step 3: Cross multiply
    16,473.47x = 24,712.61 × 4,785.17
  4. Step 4: Simplify right side
    16,473.47x = 118,253,892.50
  5. Step 5: Solve for x
    x = 118,253,892.50/16,473.47
  6. Step 6: Final answer
    x = 7,178.45

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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.