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Finding the Fourth Proportional to 16,423.66, 24,641.61 and 9,854.56

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Solution

The fourth proportional to 16,423.66, 24,641.61 and 9,854.56 is: 14,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.66 : 24,641.61 = 9,854.56 : x
  2. Step 2: Convert to fraction form
    16,423.66/24,641.61 = 9,854.56/x
  3. Step 3: Cross multiply
    16,423.66x = 24,641.61 × 9,854.56
  4. Step 4: Simplify right side
    16,423.66x = 242,832,224.24
  5. Step 5: Solve for x
    x = 242,832,224.24/16,423.66
  6. Step 6: Final answer
    x = 14,785.51

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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.