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Finding the Fourth Proportional to 15,478.64, 23,195.24 and 9,617.48

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Solution

The fourth proportional to 15,478.64, 23,195.24 and 9,617.48 is: 14,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.64 : 23,195.24 = 9,617.48 : x
  2. Step 2: Convert to fraction form
    15,478.64/23,195.24 = 9,617.48/x
  3. Step 3: Cross multiply
    15,478.64x = 23,195.24 × 9,617.48
  4. Step 4: Simplify right side
    15,478.64x = 223,079,756.80
  5. Step 5: Solve for x
    x = 223,079,756.80/15,478.64
  6. Step 6: Final answer
    x = 14,412.10

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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.