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Finding the Fourth Proportional to 14,691.08, 20,275.08 and 8,402.24

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Solution

The fourth proportional to 14,691.08, 20,275.08 and 8,402.24 is: 11,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.08 : 20,275.08 = 8,402.24 : x
  2. Step 2: Convert to fraction form
    14,691.08/20,275.08 = 8,402.24/x
  3. Step 3: Cross multiply
    14,691.08x = 20,275.08 × 8,402.24
  4. Step 4: Simplify right side
    14,691.08x = 170,356,088.18
  5. Step 5: Solve for x
    x = 170,356,088.18/14,691.08
  6. Step 6: Final answer
    x = 11,595.89

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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.