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Finding the Fourth Proportional to 16,300.53, 24,454.08 and 5,206.89

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Solution

The fourth proportional to 16,300.53, 24,454.08 and 5,206.89 is: 7,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.53 : 24,454.08 = 5,206.89 : x
  2. Step 2: Convert to fraction form
    16,300.53/24,454.08 = 5,206.89/x
  3. Step 3: Cross multiply
    16,300.53x = 24,454.08 × 5,206.89
  4. Step 4: Simplify right side
    16,300.53x = 127,329,704.61
  5. Step 5: Solve for x
    x = 127,329,704.61/16,300.53
  6. Step 6: Final answer
    x = 7,811.38

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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.