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Finding the Fourth Proportional to 22,133.56, 30,543.14 and 12,701.50

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Solution

The fourth proportional to 22,133.56, 30,543.14 and 12,701.50 is: 17,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.56 : 30,543.14 = 12,701.50 : x
  2. Step 2: Convert to fraction form
    22,133.56/30,543.14 = 12,701.50/x
  3. Step 3: Cross multiply
    22,133.56x = 30,543.14 × 12,701.50
  4. Step 4: Simplify right side
    22,133.56x = 387,943,629.20
  5. Step 5: Solve for x
    x = 387,943,629.20/22,133.56
  6. Step 6: Final answer
    x = 17,527.39

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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.