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Finding the Fourth Proportional to 15,154.68, 22,739.52 and 6,840.78

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Solution

The fourth proportional to 15,154.68, 22,739.52 and 6,840.78 is: 10,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.68 : 22,739.52 = 6,840.78 : x
  2. Step 2: Convert to fraction form
    15,154.68/22,739.52 = 6,840.78/x
  3. Step 3: Cross multiply
    15,154.68x = 22,739.52 × 6,840.78
  4. Step 4: Simplify right side
    15,154.68x = 155,556,053.63
  5. Step 5: Solve for x
    x = 155,556,053.63/15,154.68
  6. Step 6: Final answer
    x = 10,264.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.