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Finding the Fourth Proportional to 28,234, 38,963.14 and 15,658.76

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Solution

The fourth proportional to 28,234, 38,963.14 and 15,658.76 is: 21,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234 : 38,963.14 = 15,658.76 : x
  2. Step 2: Convert to fraction form
    28,234/38,963.14 = 15,658.76/x
  3. Step 3: Cross multiply
    28,234x = 38,963.14 × 15,658.76
  4. Step 4: Simplify right side
    28,234x = 610,114,458.11
  5. Step 5: Solve for x
    x = 610,114,458.11/28,234
  6. Step 6: Final answer
    x = 21,609.21

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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.