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Finding the Fourth Proportional to 14,689.76, 20,271.86 and 8,402.14

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Solution

The fourth proportional to 14,689.76, 20,271.86 and 8,402.14 is: 11,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.76 : 20,271.86 = 8,402.14 : x
  2. Step 2: Convert to fraction form
    14,689.76/20,271.86 = 8,402.14/x
  3. Step 3: Cross multiply
    14,689.76x = 20,271.86 × 8,402.14
  4. Step 4: Simplify right side
    14,689.76x = 170,327,005.78
  5. Step 5: Solve for x
    x = 170,327,005.78/14,689.76
  6. Step 6: Final answer
    x = 11,594.95

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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.