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Finding the Fourth Proportional to 17,446.59, 24,067.13 and 10,368

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Solution

The fourth proportional to 17,446.59, 24,067.13 and 10,368 is: 14,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.59 : 24,067.13 = 10,368 : x
  2. Step 2: Convert to fraction form
    17,446.59/24,067.13 = 10,368/x
  3. Step 3: Cross multiply
    17,446.59x = 24,067.13 × 10,368
  4. Step 4: Simplify right side
    17,446.59x = 249,527,952
  5. Step 5: Solve for x
    x = 249,527,952/17,446.59
  6. Step 6: Final answer
    x = 14,302.39

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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.