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Finding the Fourth Proportional to 16,214.58, 22,373.01 and 9,922.50

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Solution

The fourth proportional to 16,214.58, 22,373.01 and 9,922.50 is: 13,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.58 : 22,373.01 = 9,922.50 : x
  2. Step 2: Convert to fraction form
    16,214.58/22,373.01 = 9,922.50/x
  3. Step 3: Cross multiply
    16,214.58x = 22,373.01 × 9,922.50
  4. Step 4: Simplify right side
    16,214.58x = 221,996,191.73
  5. Step 5: Solve for x
    x = 221,996,191.73/16,214.58
  6. Step 6: Final answer
    x = 13,691.15

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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.