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Finding the Fourth Proportional to 16,381.98, 24,535.98 and 13,429.53

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Solution

The fourth proportional to 16,381.98, 24,535.98 and 13,429.53 is: 20,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.98 : 24,535.98 = 13,429.53 : x
  2. Step 2: Convert to fraction form
    16,381.98/24,535.98 = 13,429.53/x
  3. Step 3: Cross multiply
    16,381.98x = 24,535.98 × 13,429.53
  4. Step 4: Simplify right side
    16,381.98x = 329,506,679.49
  5. Step 5: Solve for x
    x = 329,506,679.49/16,381.98
  6. Step 6: Final answer
    x = 20,113.97

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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.