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Finding the Fourth Proportional to 13,842.49, 20,767.02 and 4,482.50

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Solution

The fourth proportional to 13,842.49, 20,767.02 and 4,482.50 is: 6,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.49 : 20,767.02 = 4,482.50 : x
  2. Step 2: Convert to fraction form
    13,842.49/20,767.02 = 4,482.50/x
  3. Step 3: Cross multiply
    13,842.49x = 20,767.02 × 4,482.50
  4. Step 4: Simplify right side
    13,842.49x = 93,088,167.15
  5. Step 5: Solve for x
    x = 93,088,167.15/13,842.49
  6. Step 6: Final answer
    x = 6,724.81

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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.