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Finding the Fourth Proportional to 15,074.64, 22,601.98 and 6,743.18

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Solution

The fourth proportional to 15,074.64, 22,601.98 and 6,743.18 is: 10,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.64 : 22,601.98 = 6,743.18 : x
  2. Step 2: Convert to fraction form
    15,074.64/22,601.98 = 6,743.18/x
  3. Step 3: Cross multiply
    15,074.64x = 22,601.98 × 6,743.18
  4. Step 4: Simplify right side
    15,074.64x = 152,409,219.50
  5. Step 5: Solve for x
    x = 152,409,219.50/15,074.64
  6. Step 6: Final answer
    x = 10,110.31

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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.