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Finding the Fourth Proportional to 16,455.72, 22,708.80 and 8,902.02

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Solution

The fourth proportional to 16,455.72, 22,708.80 and 8,902.02 is: 12,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.72 : 22,708.80 = 8,902.02 : x
  2. Step 2: Convert to fraction form
    16,455.72/22,708.80 = 8,902.02/x
  3. Step 3: Cross multiply
    16,455.72x = 22,708.80 × 8,902.02
  4. Step 4: Simplify right side
    16,455.72x = 202,154,191.78
  5. Step 5: Solve for x
    x = 202,154,191.78/16,455.72
  6. Step 6: Final answer
    x = 12,284.74

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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.