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Finding the Fourth Proportional to 16,283.60, 24,426.20 and 8,507.60

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Solution

The fourth proportional to 16,283.60, 24,426.20 and 8,507.60 is: 12,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.60 : 24,426.20 = 8,507.60 : x
  2. Step 2: Convert to fraction form
    16,283.60/24,426.20 = 8,507.60/x
  3. Step 3: Cross multiply
    16,283.60x = 24,426.20 × 8,507.60
  4. Step 4: Simplify right side
    16,283.60x = 207,808,339.12
  5. Step 5: Solve for x
    x = 207,808,339.12/16,283.60
  6. Step 6: Final answer
    x = 12,761.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.