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Finding the Fourth Proportional to 17,897.71, 24,696.61 and 9,938.86

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Solution

The fourth proportional to 17,897.71, 24,696.61 and 9,938.86 is: 13,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.71 : 24,696.61 = 9,938.86 : x
  2. Step 2: Convert to fraction form
    17,897.71/24,696.61 = 9,938.86/x
  3. Step 3: Cross multiply
    17,897.71x = 24,696.61 × 9,938.86
  4. Step 4: Simplify right side
    17,897.71x = 245,456,149.26
  5. Step 5: Solve for x
    x = 245,456,149.26/17,897.71
  6. Step 6: Final answer
    x = 13,714.39

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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.