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Finding the Fourth Proportional to 17,545.76, 24,223.12 and 11,594.72

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Solution

The fourth proportional to 17,545.76, 24,223.12 and 11,594.72 is: 16,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.76 : 24,223.12 = 11,594.72 : x
  2. Step 2: Convert to fraction form
    17,545.76/24,223.12 = 11,594.72/x
  3. Step 3: Cross multiply
    17,545.76x = 24,223.12 × 11,594.72
  4. Step 4: Simplify right side
    17,545.76x = 280,860,293.93
  5. Step 5: Solve for x
    x = 280,860,293.93/17,545.76
  6. Step 6: Final answer
    x = 16,007.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.