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Finding the Fourth Proportional to 15,754.44, 23,619.96 and 7,429.74

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Solution

The fourth proportional to 15,754.44, 23,619.96 and 7,429.74 is: 11,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.44 : 23,619.96 = 7,429.74 : x
  2. Step 2: Convert to fraction form
    15,754.44/23,619.96 = 7,429.74/x
  3. Step 3: Cross multiply
    15,754.44x = 23,619.96 × 7,429.74
  4. Step 4: Simplify right side
    15,754.44x = 175,490,161.61
  5. Step 5: Solve for x
    x = 175,490,161.61/15,754.44
  6. Step 6: Final answer
    x = 11,139.09

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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.