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Finding the Fourth Proportional to 13,282, 19,931.08 and 5,489.80

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Solution

The fourth proportional to 13,282, 19,931.08 and 5,489.80 is: 8,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 19,931.08 = 5,489.80 : x
  2. Step 2: Convert to fraction form
    13,282/19,931.08 = 5,489.80/x
  3. Step 3: Cross multiply
    13,282x = 19,931.08 × 5,489.80
  4. Step 4: Simplify right side
    13,282x = 109,417,642.98
  5. Step 5: Solve for x
    x = 109,417,642.98/13,282
  6. Step 6: Final answer
    x = 8,238.04

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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.