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Finding the Fourth Proportional to 12,133.76, 18,106 and 10,826.24

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Solution

The fourth proportional to 12,133.76, 18,106 and 10,826.24 is: 16,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.76 : 18,106 = 10,826.24 : x
  2. Step 2: Convert to fraction form
    12,133.76/18,106 = 10,826.24/x
  3. Step 3: Cross multiply
    12,133.76x = 18,106 × 10,826.24
  4. Step 4: Simplify right side
    12,133.76x = 196,019,901.44
  5. Step 5: Solve for x
    x = 196,019,901.44/12,133.76
  6. Step 6: Final answer
    x = 16,154.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.