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Finding the Fourth Proportional to 14,723.46, 22,074.75 and 6,928.02

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Solution

The fourth proportional to 14,723.46, 22,074.75 and 6,928.02 is: 10,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.46 : 22,074.75 = 6,928.02 : x
  2. Step 2: Convert to fraction form
    14,723.46/22,074.75 = 6,928.02/x
  3. Step 3: Cross multiply
    14,723.46x = 22,074.75 × 6,928.02
  4. Step 4: Simplify right side
    14,723.46x = 152,934,309.50
  5. Step 5: Solve for x
    x = 152,934,309.50/14,723.46
  6. Step 6: Final answer
    x = 10,387.12

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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.