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Finding the Fourth Proportional to 14,545.32, 20,069.46 and 8,574.78

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Solution

The fourth proportional to 14,545.32, 20,069.46 and 8,574.78 is: 11,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.32 : 20,069.46 = 8,574.78 : x
  2. Step 2: Convert to fraction form
    14,545.32/20,069.46 = 8,574.78/x
  3. Step 3: Cross multiply
    14,545.32x = 20,069.46 × 8,574.78
  4. Step 4: Simplify right side
    14,545.32x = 172,091,204.22
  5. Step 5: Solve for x
    x = 172,091,204.22/14,545.32
  6. Step 6: Final answer
    x = 11,831.38

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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.