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Finding the Fourth Proportional to 16,478.91, 22,740.08 and 9,672.01

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Solution

The fourth proportional to 16,478.91, 22,740.08 and 9,672.01 is: 13,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.91 : 22,740.08 = 9,672.01 : x
  2. Step 2: Convert to fraction form
    16,478.91/22,740.08 = 9,672.01/x
  3. Step 3: Cross multiply
    16,478.91x = 22,740.08 × 9,672.01
  4. Step 4: Simplify right side
    16,478.91x = 219,942,175.95
  5. Step 5: Solve for x
    x = 219,942,175.95/16,478.91
  6. Step 6: Final answer
    x = 13,346.89

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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.