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Finding the Fourth Proportional to 15,177.42, 22,751.42 and 7,785.36

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Solution

The fourth proportional to 15,177.42, 22,751.42 and 7,785.36 is: 11,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.42 : 22,751.42 = 7,785.36 : x
  2. Step 2: Convert to fraction form
    15,177.42/22,751.42 = 7,785.36/x
  3. Step 3: Cross multiply
    15,177.42x = 22,751.42 × 7,785.36
  4. Step 4: Simplify right side
    15,177.42x = 177,127,956.28
  5. Step 5: Solve for x
    x = 177,127,956.28/15,177.42
  6. Step 6: Final answer
    x = 11,670.49

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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.