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Finding the Fourth Proportional to 14,665.86, 20,239.14 and 8,378.28

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Solution

The fourth proportional to 14,665.86, 20,239.14 and 8,378.28 is: 11,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.86 : 20,239.14 = 8,378.28 : x
  2. Step 2: Convert to fraction form
    14,665.86/20,239.14 = 8,378.28/x
  3. Step 3: Cross multiply
    14,665.86x = 20,239.14 × 8,378.28
  4. Step 4: Simplify right side
    14,665.86x = 169,569,181.88
  5. Step 5: Solve for x
    x = 169,569,181.88/14,665.86
  6. Step 6: Final answer
    x = 11,562.17

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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.