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Finding the Fourth Proportional to 18,281, 25,227.96 and 9,897.68

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Solution

The fourth proportional to 18,281, 25,227.96 and 9,897.68 is: 13,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281 : 25,227.96 = 9,897.68 : x
  2. Step 2: Convert to fraction form
    18,281/25,227.96 = 9,897.68/x
  3. Step 3: Cross multiply
    18,281x = 25,227.96 × 9,897.68
  4. Step 4: Simplify right side
    18,281x = 249,698,275.13
  5. Step 5: Solve for x
    x = 249,698,275.13/18,281
  6. Step 6: Final answer
    x = 13,658.90

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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.