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Finding the Fourth Proportional to 14,854.16, 20,497.38 and 8,565.32

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Solution

The fourth proportional to 14,854.16, 20,497.38 and 8,565.32 is: 11,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.16 : 20,497.38 = 8,565.32 : x
  2. Step 2: Convert to fraction form
    14,854.16/20,497.38 = 8,565.32/x
  3. Step 3: Cross multiply
    14,854.16x = 20,497.38 × 8,565.32
  4. Step 4: Simplify right side
    14,854.16x = 175,566,618.86
  5. Step 5: Solve for x
    x = 175,566,618.86/14,854.16
  6. Step 6: Final answer
    x = 11,819.36

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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.