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Finding the Fourth Proportional to 16,569.73, 24,838.65 and 10,630

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Solution

The fourth proportional to 16,569.73, 24,838.65 and 10,630 is: 15,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.73 : 24,838.65 = 10,630 : x
  2. Step 2: Convert to fraction form
    16,569.73/24,838.65 = 10,630/x
  3. Step 3: Cross multiply
    16,569.73x = 24,838.65 × 10,630
  4. Step 4: Simplify right side
    16,569.73x = 264,034,849.50
  5. Step 5: Solve for x
    x = 264,034,849.50/16,569.73
  6. Step 6: Final answer
    x = 15,934.77

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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.