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Finding the Fourth Proportional to 22,742.40, 34,132.80 and 10,281.60

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Solution

The fourth proportional to 22,742.40, 34,132.80 and 10,281.60 is: 15,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.40 : 34,132.80 = 10,281.60 : x
  2. Step 2: Convert to fraction form
    22,742.40/34,132.80 = 10,281.60/x
  3. Step 3: Cross multiply
    22,742.40x = 34,132.80 × 10,281.60
  4. Step 4: Simplify right side
    22,742.40x = 350,939,796.48
  5. Step 5: Solve for x
    x = 350,939,796.48/22,742.40
  6. Step 6: Final answer
    x = 15,431.08

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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.