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Finding the Fourth Proportional to 12,838.29, 19,256.31 and 9,106.11

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Solution

The fourth proportional to 12,838.29, 19,256.31 and 9,106.11 is: 13,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.29 : 19,256.31 = 9,106.11 : x
  2. Step 2: Convert to fraction form
    12,838.29/19,256.31 = 9,106.11/x
  3. Step 3: Cross multiply
    12,838.29x = 19,256.31 × 9,106.11
  4. Step 4: Simplify right side
    12,838.29x = 175,350,077.05
  5. Step 5: Solve for x
    x = 175,350,077.05/12,838.29
  6. Step 6: Final answer
    x = 13,658.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.