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Finding the Fourth Proportional to 21,197.50, 31,774.38 and 7,152.86

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Solution

The fourth proportional to 21,197.50, 31,774.38 and 7,152.86 is: 10,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.50 : 31,774.38 = 7,152.86 : x
  2. Step 2: Convert to fraction form
    21,197.50/31,774.38 = 7,152.86/x
  3. Step 3: Cross multiply
    21,197.50x = 31,774.38 × 7,152.86
  4. Step 4: Simplify right side
    21,197.50x = 227,277,565.61
  5. Step 5: Solve for x
    x = 227,277,565.61/21,197.50
  6. Step 6: Final answer
    x = 10,721.91

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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.