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Finding the Fourth Proportional to 21,123.96, 31,685.58 and 6,332.64

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Solution

The fourth proportional to 21,123.96, 31,685.58 and 6,332.64 is: 9,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.96 : 31,685.58 = 6,332.64 : x
  2. Step 2: Convert to fraction form
    21,123.96/31,685.58 = 6,332.64/x
  3. Step 3: Cross multiply
    21,123.96x = 31,685.58 × 6,332.64
  4. Step 4: Simplify right side
    21,123.96x = 200,653,371.33
  5. Step 5: Solve for x
    x = 200,653,371.33/21,123.96
  6. Step 6: Final answer
    x = 9,498.85

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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.