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Finding the Fourth Proportional to 14,377.32, 21,565.98 and 8,217

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Solution

The fourth proportional to 14,377.32, 21,565.98 and 8,217 is: 12,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.32 : 21,565.98 = 8,217 : x
  2. Step 2: Convert to fraction form
    14,377.32/21,565.98 = 8,217/x
  3. Step 3: Cross multiply
    14,377.32x = 21,565.98 × 8,217
  4. Step 4: Simplify right side
    14,377.32x = 177,207,657.66
  5. Step 5: Solve for x
    x = 177,207,657.66/14,377.32
  6. Step 6: Final answer
    x = 12,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.