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Finding the Fourth Proportional to 11,634.90, 16,098.40 and 10,145.90

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Solution

The fourth proportional to 11,634.90, 16,098.40 and 10,145.90 is: 14,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.90 : 16,098.40 = 10,145.90 : x
  2. Step 2: Convert to fraction form
    11,634.90/16,098.40 = 10,145.90/x
  3. Step 3: Cross multiply
    11,634.90x = 16,098.40 × 10,145.90
  4. Step 4: Simplify right side
    11,634.90x = 163,332,756.56
  5. Step 5: Solve for x
    x = 163,332,756.56/11,634.90
  6. Step 6: Final answer
    x = 14,038.17

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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.