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Finding the Fourth Proportional to 14,713.16, 22,072.78 and 4,853.04

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Solution

The fourth proportional to 14,713.16, 22,072.78 and 4,853.04 is: 7,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.16 : 22,072.78 = 4,853.04 : x
  2. Step 2: Convert to fraction form
    14,713.16/22,072.78 = 4,853.04/x
  3. Step 3: Cross multiply
    14,713.16x = 22,072.78 × 4,853.04
  4. Step 4: Simplify right side
    14,713.16x = 107,120,084.25
  5. Step 5: Solve for x
    x = 107,120,084.25/14,713.16
  6. Step 6: Final answer
    x = 7,280.56

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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.