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Finding the Fourth Proportional to 17,497, 24,145.86 and 11,210.59

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Solution

The fourth proportional to 17,497, 24,145.86 and 11,210.59 is: 15,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497 : 24,145.86 = 11,210.59 : x
  2. Step 2: Convert to fraction form
    17,497/24,145.86 = 11,210.59/x
  3. Step 3: Cross multiply
    17,497x = 24,145.86 × 11,210.59
  4. Step 4: Simplify right side
    17,497x = 270,689,336.66
  5. Step 5: Solve for x
    x = 270,689,336.66/17,497
  6. Step 6: Final answer
    x = 15,470.61

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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.