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Finding the Fourth Proportional to 15,454.69, 21,327.48 and 8,381.14

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Solution

The fourth proportional to 15,454.69, 21,327.48 and 8,381.14 is: 11,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.69 : 21,327.48 = 8,381.14 : x
  2. Step 2: Convert to fraction form
    15,454.69/21,327.48 = 8,381.14/x
  3. Step 3: Cross multiply
    15,454.69x = 21,327.48 × 8,381.14
  4. Step 4: Simplify right side
    15,454.69x = 178,748,542.41
  5. Step 5: Solve for x
    x = 178,748,542.41/15,454.69
  6. Step 6: Final answer
    x = 11,565.98

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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.