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Finding the Fourth Proportional to 15,454.96, 23,169.48 and 12,526

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Solution

The fourth proportional to 15,454.96, 23,169.48 and 12,526 is: 18,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.96 : 23,169.48 = 12,526 : x
  2. Step 2: Convert to fraction form
    15,454.96/23,169.48 = 12,526/x
  3. Step 3: Cross multiply
    15,454.96x = 23,169.48 × 12,526
  4. Step 4: Simplify right side
    15,454.96x = 290,220,906.48
  5. Step 5: Solve for x
    x = 290,220,906.48/15,454.96
  6. Step 6: Final answer
    x = 18,778.50

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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.