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Finding the Fourth Proportional to 16,642.18, 22,961.64 and 9,570.88

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Solution

The fourth proportional to 16,642.18, 22,961.64 and 9,570.88 is: 13,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.18 : 22,961.64 = 9,570.88 : x
  2. Step 2: Convert to fraction form
    16,642.18/22,961.64 = 9,570.88/x
  3. Step 3: Cross multiply
    16,642.18x = 22,961.64 × 9,570.88
  4. Step 4: Simplify right side
    16,642.18x = 219,763,101.04
  5. Step 5: Solve for x
    x = 219,763,101.04/16,642.18
  6. Step 6: Final answer
    x = 13,205.19

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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.