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Finding the Fourth Proportional to 15,257.39, 22,924.43 and 9,713.21

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Solution

The fourth proportional to 15,257.39, 22,924.43 and 9,713.21 is: 14,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.39 : 22,924.43 = 9,713.21 : x
  2. Step 2: Convert to fraction form
    15,257.39/22,924.43 = 9,713.21/x
  3. Step 3: Cross multiply
    15,257.39x = 22,924.43 × 9,713.21
  4. Step 4: Simplify right side
    15,257.39x = 222,669,802.72
  5. Step 5: Solve for x
    x = 222,669,802.72/15,257.39
  6. Step 6: Final answer
    x = 14,594.23

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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.