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Finding the Fourth Proportional to 17,712.87, 24,445.71 and 10,159.62

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Solution

The fourth proportional to 17,712.87, 24,445.71 and 10,159.62 is: 14,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.87 : 24,445.71 = 10,159.62 : x
  2. Step 2: Convert to fraction form
    17,712.87/24,445.71 = 10,159.62/x
  3. Step 3: Cross multiply
    17,712.87x = 24,445.71 × 10,159.62
  4. Step 4: Simplify right side
    17,712.87x = 248,359,124.23
  5. Step 5: Solve for x
    x = 248,359,124.23/17,712.87
  6. Step 6: Final answer
    x = 14,021.39

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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.