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Finding the Fourth Proportional to 19,813.68, 29,705.16 and 8,862

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Solution

The fourth proportional to 19,813.68, 29,705.16 and 8,862 is: 13,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.68 : 29,705.16 = 8,862 : x
  2. Step 2: Convert to fraction form
    19,813.68/29,705.16 = 8,862/x
  3. Step 3: Cross multiply
    19,813.68x = 29,705.16 × 8,862
  4. Step 4: Simplify right side
    19,813.68x = 263,247,127.92
  5. Step 5: Solve for x
    x = 263,247,127.92/19,813.68
  6. Step 6: Final answer
    x = 13,286.13

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Why These Related Problems?

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