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Finding the Fourth Proportional to 20,221.70, 30,332.55 and 9,133.70

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Solution

The fourth proportional to 20,221.70, 30,332.55 and 9,133.70 is: 13,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.70 : 30,332.55 = 9,133.70 : x
  2. Step 2: Convert to fraction form
    20,221.70/30,332.55 = 9,133.70/x
  3. Step 3: Cross multiply
    20,221.70x = 30,332.55 × 9,133.70
  4. Step 4: Simplify right side
    20,221.70x = 277,048,411.94
  5. Step 5: Solve for x
    x = 277,048,411.94/20,221.70
  6. Step 6: Final answer
    x = 13,700.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.