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Finding the Fourth Proportional to 12,866.42, 19,301.46 and 4,098.38

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Solution

The fourth proportional to 12,866.42, 19,301.46 and 4,098.38 is: 6,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.42 : 19,301.46 = 4,098.38 : x
  2. Step 2: Convert to fraction form
    12,866.42/19,301.46 = 4,098.38/x
  3. Step 3: Cross multiply
    12,866.42x = 19,301.46 × 4,098.38
  4. Step 4: Simplify right side
    12,866.42x = 79,104,717.63
  5. Step 5: Solve for x
    x = 79,104,717.63/12,866.42
  6. Step 6: Final answer
    x = 6,148.15

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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.