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Finding the Fourth Proportional to 20,232.84, 30,363 and 7,085.16

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Solution

The fourth proportional to 20,232.84, 30,363 and 7,085.16 is: 10,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.84 : 30,363 = 7,085.16 : x
  2. Step 2: Convert to fraction form
    20,232.84/30,363 = 7,085.16/x
  3. Step 3: Cross multiply
    20,232.84x = 30,363 × 7,085.16
  4. Step 4: Simplify right side
    20,232.84x = 215,126,713.08
  5. Step 5: Solve for x
    x = 215,126,713.08/20,232.84
  6. Step 6: Final answer
    x = 10,632.55

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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.