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Finding the Fourth Proportional to 16,154.85, 24,223.16 and 6,282.83

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Solution

The fourth proportional to 16,154.85, 24,223.16 and 6,282.83 is: 9,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.85 : 24,223.16 = 6,282.83 : x
  2. Step 2: Convert to fraction form
    16,154.85/24,223.16 = 6,282.83/x
  3. Step 3: Cross multiply
    16,154.85x = 24,223.16 × 6,282.83
  4. Step 4: Simplify right side
    16,154.85x = 152,190,072.61
  5. Step 5: Solve for x
    x = 152,190,072.61/16,154.85
  6. Step 6: Final answer
    x = 9,420.70

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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.