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Finding the Fourth Proportional to 14,547.66, 20,077.26 and 8,581.26

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Solution

The fourth proportional to 14,547.66, 20,077.26 and 8,581.26 is: 11,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.66 : 20,077.26 = 8,581.26 : x
  2. Step 2: Convert to fraction form
    14,547.66/20,077.26 = 8,581.26/x
  3. Step 3: Cross multiply
    14,547.66x = 20,077.26 × 8,581.26
  4. Step 4: Simplify right side
    14,547.66x = 172,288,188.15
  5. Step 5: Solve for x
    x = 172,288,188.15/14,547.66
  6. Step 6: Final answer
    x = 11,843.02

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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.