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Finding the Fourth Proportional to 17,478.64, 24,121.08 and 9,521.12

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Solution

The fourth proportional to 17,478.64, 24,121.08 and 9,521.12 is: 13,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.64 : 24,121.08 = 9,521.12 : x
  2. Step 2: Convert to fraction form
    17,478.64/24,121.08 = 9,521.12/x
  3. Step 3: Cross multiply
    17,478.64x = 24,121.08 × 9,521.12
  4. Step 4: Simplify right side
    17,478.64x = 229,659,697.21
  5. Step 5: Solve for x
    x = 229,659,697.21/17,478.64
  6. Step 6: Final answer
    x = 13,139.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.