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Finding the Fourth Proportional to 12,842.26, 19,265 and 4,410.40

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Solution

The fourth proportional to 12,842.26, 19,265 and 4,410.40 is: 6,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.26 : 19,265 = 4,410.40 : x
  2. Step 2: Convert to fraction form
    12,842.26/19,265 = 4,410.40/x
  3. Step 3: Cross multiply
    12,842.26x = 19,265 × 4,410.40
  4. Step 4: Simplify right side
    12,842.26x = 84,966,356
  5. Step 5: Solve for x
    x = 84,966,356/12,842.26
  6. Step 6: Final answer
    x = 6,616.15

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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.