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Finding the Fourth Proportional to 22,803.84, 34,206.72 and 7,221.12

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Solution

The fourth proportional to 22,803.84, 34,206.72 and 7,221.12 is: 10,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.84 : 34,206.72 = 7,221.12 : x
  2. Step 2: Convert to fraction form
    22,803.84/34,206.72 = 7,221.12/x
  3. Step 3: Cross multiply
    22,803.84x = 34,206.72 × 7,221.12
  4. Step 4: Simplify right side
    22,803.84x = 247,010,829.93
  5. Step 5: Solve for x
    x = 247,010,829.93/22,803.84
  6. Step 6: Final answer
    x = 10,831.98

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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.