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Finding the Fourth Proportional to 12,866.41, 19,265.82 and 10,354.24

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Solution

The fourth proportional to 12,866.41, 19,265.82 and 10,354.24 is: 15,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.41 : 19,265.82 = 10,354.24 : x
  2. Step 2: Convert to fraction form
    12,866.41/19,265.82 = 10,354.24/x
  3. Step 3: Cross multiply
    12,866.41x = 19,265.82 × 10,354.24
  4. Step 4: Simplify right side
    12,866.41x = 199,482,924.08
  5. Step 5: Solve for x
    x = 199,482,924.08/12,866.41
  6. Step 6: Final answer
    x = 15,504.16

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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.