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Finding the Fourth Proportional to 23,722.97, 32,737.62 and 13,513.98

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Solution

The fourth proportional to 23,722.97, 32,737.62 and 13,513.98 is: 18,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.97 : 32,737.62 = 13,513.98 : x
  2. Step 2: Convert to fraction form
    23,722.97/32,737.62 = 13,513.98/x
  3. Step 3: Cross multiply
    23,722.97x = 32,737.62 × 13,513.98
  4. Step 4: Simplify right side
    23,722.97x = 442,415,541.93
  5. Step 5: Solve for x
    x = 442,415,541.93/23,722.97
  6. Step 6: Final answer
    x = 18,649.25

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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.