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Finding the Fourth Proportional to 21,298.52, 31,944.14 and 5,712.50

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Solution

The fourth proportional to 21,298.52, 31,944.14 and 5,712.50 is: 8,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.52 : 31,944.14 = 5,712.50 : x
  2. Step 2: Convert to fraction form
    21,298.52/31,944.14 = 5,712.50/x
  3. Step 3: Cross multiply
    21,298.52x = 31,944.14 × 5,712.50
  4. Step 4: Simplify right side
    21,298.52x = 182,480,899.75
  5. Step 5: Solve for x
    x = 182,480,899.75/21,298.52
  6. Step 6: Final answer
    x = 8,567.77

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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.