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Finding the Fourth Proportional to 14,689.84, 20,288.52 and 9,965.92

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Solution

The fourth proportional to 14,689.84, 20,288.52 and 9,965.92 is: 13,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.84 : 20,288.52 = 9,965.92 : x
  2. Step 2: Convert to fraction form
    14,689.84/20,288.52 = 9,965.92/x
  3. Step 3: Cross multiply
    14,689.84x = 20,288.52 × 9,965.92
  4. Step 4: Simplify right side
    14,689.84x = 202,193,767.24
  5. Step 5: Solve for x
    x = 202,193,767.24/14,689.84
  6. Step 6: Final answer
    x = 13,764.19

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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.