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Finding the Fourth Proportional to 21,242.84, 31,869.38 and 8,931.80

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Solution

The fourth proportional to 21,242.84, 31,869.38 and 8,931.80 is: 13,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.84 : 31,869.38 = 8,931.80 : x
  2. Step 2: Convert to fraction form
    21,242.84/31,869.38 = 8,931.80/x
  3. Step 3: Cross multiply
    21,242.84x = 31,869.38 × 8,931.80
  4. Step 4: Simplify right side
    21,242.84x = 284,650,928.28
  5. Step 5: Solve for x
    x = 284,650,928.28/21,242.84
  6. Step 6: Final answer
    x = 13,399.85

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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.