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Finding the Fourth Proportional to 16,757.60, 23,117.50 and 10,040

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Solution

The fourth proportional to 16,757.60, 23,117.50 and 10,040 is: 13,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757.60 : 23,117.50 = 10,040 : x
  2. Step 2: Convert to fraction form
    16,757.60/23,117.50 = 10,040/x
  3. Step 3: Cross multiply
    16,757.60x = 23,117.50 × 10,040
  4. Step 4: Simplify right side
    16,757.60x = 232,099,700
  5. Step 5: Solve for x
    x = 232,099,700/16,757.60
  6. Step 6: Final answer
    x = 13,850.41

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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.