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Finding the Fourth Proportional to 14,510.64, 20,024.50 and 8,137.84

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Solution

The fourth proportional to 14,510.64, 20,024.50 and 8,137.84 is: 11,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.64 : 20,024.50 = 8,137.84 : x
  2. Step 2: Convert to fraction form
    14,510.64/20,024.50 = 8,137.84/x
  3. Step 3: Cross multiply
    14,510.64x = 20,024.50 × 8,137.84
  4. Step 4: Simplify right side
    14,510.64x = 162,956,177.08
  5. Step 5: Solve for x
    x = 162,956,177.08/14,510.64
  6. Step 6: Final answer
    x = 11,230.12

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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.