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Finding the Fourth Proportional to 21,038, 31,557.24 and 5,454.68

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Solution

The fourth proportional to 21,038, 31,557.24 and 5,454.68 is: 8,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038 : 31,557.24 = 5,454.68 : x
  2. Step 2: Convert to fraction form
    21,038/31,557.24 = 5,454.68/x
  3. Step 3: Cross multiply
    21,038x = 31,557.24 × 5,454.68
  4. Step 4: Simplify right side
    21,038x = 172,134,645.88
  5. Step 5: Solve for x
    x = 172,134,645.88/21,038
  6. Step 6: Final answer
    x = 8,182.08

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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.