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Finding the Fourth Proportional to 11,893.51, 16,397.49 and 10,232.76

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Solution

The fourth proportional to 11,893.51, 16,397.49 and 10,232.76 is: 14,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.51 : 16,397.49 = 10,232.76 : x
  2. Step 2: Convert to fraction form
    11,893.51/16,397.49 = 10,232.76/x
  3. Step 3: Cross multiply
    11,893.51x = 16,397.49 × 10,232.76
  4. Step 4: Simplify right side
    11,893.51x = 167,791,528.61
  5. Step 5: Solve for x
    x = 167,791,528.61/11,893.51
  6. Step 6: Final answer
    x = 14,107.82

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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.