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Finding the Fourth Proportional to 15,129.98, 20,878.88 and 8,415.42

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Solution

The fourth proportional to 15,129.98, 20,878.88 and 8,415.42 is: 11,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.98 : 20,878.88 = 8,415.42 : x
  2. Step 2: Convert to fraction form
    15,129.98/20,878.88 = 8,415.42/x
  3. Step 3: Cross multiply
    15,129.98x = 20,878.88 × 8,415.42
  4. Step 4: Simplify right side
    15,129.98x = 175,704,502.25
  5. Step 5: Solve for x
    x = 175,704,502.25/15,129.98
  6. Step 6: Final answer
    x = 11,613.00

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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.