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Finding the Fourth Proportional to 22,129.38, 30,538.35 and 12,698.01

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Solution

The fourth proportional to 22,129.38, 30,538.35 and 12,698.01 is: 17,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.38 : 30,538.35 = 12,698.01 : x
  2. Step 2: Convert to fraction form
    22,129.38/30,538.35 = 12,698.01/x
  3. Step 3: Cross multiply
    22,129.38x = 30,538.35 × 12,698.01
  4. Step 4: Simplify right side
    22,129.38x = 387,776,273.68
  5. Step 5: Solve for x
    x = 387,776,273.68/22,129.38
  6. Step 6: Final answer
    x = 17,523.14

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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.