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Finding the Fourth Proportional to 15,241.64, 22,900.80 and 9,697.46

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Solution

The fourth proportional to 15,241.64, 22,900.80 and 9,697.46 is: 14,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.64 : 22,900.80 = 9,697.46 : x
  2. Step 2: Convert to fraction form
    15,241.64/22,900.80 = 9,697.46/x
  3. Step 3: Cross multiply
    15,241.64x = 22,900.80 × 9,697.46
  4. Step 4: Simplify right side
    15,241.64x = 222,079,591.97
  5. Step 5: Solve for x
    x = 222,079,591.97/15,241.64
  6. Step 6: Final answer
    x = 14,570.58

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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.