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Finding the Fourth Proportional to 12,727.68, 17,565.32 and 7,423

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Solution

The fourth proportional to 12,727.68, 17,565.32 and 7,423 is: 10,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.68 : 17,565.32 = 7,423 : x
  2. Step 2: Convert to fraction form
    12,727.68/17,565.32 = 7,423/x
  3. Step 3: Cross multiply
    12,727.68x = 17,565.32 × 7,423
  4. Step 4: Simplify right side
    12,727.68x = 130,387,370.36
  5. Step 5: Solve for x
    x = 130,387,370.36/12,727.68
  6. Step 6: Final answer
    x = 10,244.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.