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Finding the Fourth Proportional to 15,794.57, 23,671.29 and 6,423.66

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Solution

The fourth proportional to 15,794.57, 23,671.29 and 6,423.66 is: 9,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.57 : 23,671.29 = 6,423.66 : x
  2. Step 2: Convert to fraction form
    15,794.57/23,671.29 = 6,423.66/x
  3. Step 3: Cross multiply
    15,794.57x = 23,671.29 × 6,423.66
  4. Step 4: Simplify right side
    15,794.57x = 152,056,318.72
  5. Step 5: Solve for x
    x = 152,056,318.72/15,794.57
  6. Step 6: Final answer
    x = 9,627.13

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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.