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Finding the Fourth Proportional to 14,744.13, 20,347.13 and 8,029.74

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Solution

The fourth proportional to 14,744.13, 20,347.13 and 8,029.74 is: 11,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.13 : 20,347.13 = 8,029.74 : x
  2. Step 2: Convert to fraction form
    14,744.13/20,347.13 = 8,029.74/x
  3. Step 3: Cross multiply
    14,744.13x = 20,347.13 × 8,029.74
  4. Step 4: Simplify right side
    14,744.13x = 163,382,214.85
  5. Step 5: Solve for x
    x = 163,382,214.85/14,744.13
  6. Step 6: Final answer
    x = 11,081.17

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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.