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Finding the Fourth Proportional to 22,357.84, 33,543.46 and 9,023.97

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Solution

The fourth proportional to 22,357.84, 33,543.46 and 9,023.97 is: 13,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.84 : 33,543.46 = 9,023.97 : x
  2. Step 2: Convert to fraction form
    22,357.84/33,543.46 = 9,023.97/x
  3. Step 3: Cross multiply
    22,357.84x = 33,543.46 × 9,023.97
  4. Step 4: Simplify right side
    22,357.84x = 302,695,176.74
  5. Step 5: Solve for x
    x = 302,695,176.74/22,357.84
  6. Step 6: Final answer
    x = 13,538.66

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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.