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Finding the Fourth Proportional to 23,497.80, 32,426.34 and 13,937.64

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Solution

The fourth proportional to 23,497.80, 32,426.34 and 13,937.64 is: 19,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.80 : 32,426.34 = 13,937.64 : x
  2. Step 2: Convert to fraction form
    23,497.80/32,426.34 = 13,937.64/x
  3. Step 3: Cross multiply
    23,497.80x = 32,426.34 × 13,937.64
  4. Step 4: Simplify right side
    23,497.80x = 451,946,653.44
  5. Step 5: Solve for x
    x = 451,946,653.44/23,497.80
  6. Step 6: Final answer
    x = 19,233.57

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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.