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Finding the Fourth Proportional to 21,154.88, 31,710.72 and 7,292

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Solution

The fourth proportional to 21,154.88, 31,710.72 and 7,292 is: 10,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.88 : 31,710.72 = 7,292 : x
  2. Step 2: Convert to fraction form
    21,154.88/31,710.72 = 7,292/x
  3. Step 3: Cross multiply
    21,154.88x = 31,710.72 × 7,292
  4. Step 4: Simplify right side
    21,154.88x = 231,234,570.24
  5. Step 5: Solve for x
    x = 231,234,570.24/21,154.88
  6. Step 6: Final answer
    x = 10,930.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.