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Finding the Fourth Proportional to 15,132.44, 22,698.66 and 4,745

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Solution

The fourth proportional to 15,132.44, 22,698.66 and 4,745 is: 7,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.44 : 22,698.66 = 4,745 : x
  2. Step 2: Convert to fraction form
    15,132.44/22,698.66 = 4,745/x
  3. Step 3: Cross multiply
    15,132.44x = 22,698.66 × 4,745
  4. Step 4: Simplify right side
    15,132.44x = 107,705,141.70
  5. Step 5: Solve for x
    x = 107,705,141.70/15,132.44
  6. Step 6: Final answer
    x = 7,117.50

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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.