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Finding the Fourth Proportional to 14,663.66, 20,208.71 and 10,414.90

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Solution

The fourth proportional to 14,663.66, 20,208.71 and 10,414.90 is: 14,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.66 : 20,208.71 = 10,414.90 : x
  2. Step 2: Convert to fraction form
    14,663.66/20,208.71 = 10,414.90/x
  3. Step 3: Cross multiply
    14,663.66x = 20,208.71 × 10,414.90
  4. Step 4: Simplify right side
    14,663.66x = 210,471,693.78
  5. Step 5: Solve for x
    x = 210,471,693.78/14,663.66
  6. Step 6: Final answer
    x = 14,353.29

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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.