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Finding the Fourth Proportional to 21,123.84, 31,686.12 and 7,982.40

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Solution

The fourth proportional to 21,123.84, 31,686.12 and 7,982.40 is: 11,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.84 : 31,686.12 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    21,123.84/31,686.12 = 7,982.40/x
  3. Step 3: Cross multiply
    21,123.84x = 31,686.12 × 7,982.40
  4. Step 4: Simplify right side
    21,123.84x = 252,931,284.29
  5. Step 5: Solve for x
    x = 252,931,284.29/21,123.84
  6. Step 6: Final answer
    x = 11,973.74

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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.