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Finding the Fourth Proportional to 16,423.66, 24,635.86 and 5,894.38

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Solution

The fourth proportional to 16,423.66, 24,635.86 and 5,894.38 is: 8,841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.66 : 24,635.86 = 5,894.38 : x
  2. Step 2: Convert to fraction form
    16,423.66/24,635.86 = 5,894.38/x
  3. Step 3: Cross multiply
    16,423.66x = 24,635.86 × 5,894.38
  4. Step 4: Simplify right side
    16,423.66x = 145,213,120.47
  5. Step 5: Solve for x
    x = 145,213,120.47/16,423.66
  6. Step 6: Final answer
    x = 8,841.70

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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.