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Finding the Fourth Proportional to 15,080.32, 22,632 and 7,298.56

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Solution

The fourth proportional to 15,080.32, 22,632 and 7,298.56 is: 10,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,080.32 : 22,632 = 7,298.56 : x
  2. Step 2: Convert to fraction form
    15,080.32/22,632 = 7,298.56/x
  3. Step 3: Cross multiply
    15,080.32x = 22,632 × 7,298.56
  4. Step 4: Simplify right side
    15,080.32x = 165,181,009.92
  5. Step 5: Solve for x
    x = 165,181,009.92/15,080.32
  6. Step 6: Final answer
    x = 10,953.42

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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.