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Finding the Fourth Proportional to 24,908, 34,373.04 and 13,730.24

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Solution

The fourth proportional to 24,908, 34,373.04 and 13,730.24 is: 18,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,908 : 34,373.04 = 13,730.24 : x
  2. Step 2: Convert to fraction form
    24,908/34,373.04 = 13,730.24/x
  3. Step 3: Cross multiply
    24,908x = 34,373.04 × 13,730.24
  4. Step 4: Simplify right side
    24,908x = 471,950,088.73
  5. Step 5: Solve for x
    x = 471,950,088.73/24,908
  6. Step 6: Final answer
    x = 18,947.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.