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Finding the Fourth Proportional to 16,726.50, 23,086.17 and 10,013.63

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Solution

The fourth proportional to 16,726.50, 23,086.17 and 10,013.63 is: 13,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726.50 : 23,086.17 = 10,013.63 : x
  2. Step 2: Convert to fraction form
    16,726.50/23,086.17 = 10,013.63/x
  3. Step 3: Cross multiply
    16,726.50x = 23,086.17 × 10,013.63
  4. Step 4: Simplify right side
    16,726.50x = 231,176,249.07
  5. Step 5: Solve for x
    x = 231,176,249.07/16,726.50
  6. Step 6: Final answer
    x = 13,820.96

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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.