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Finding the Fourth Proportional to 12,717.63, 17,552.38 and 7,411.42

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Solution

The fourth proportional to 12,717.63, 17,552.38 and 7,411.42 is: 10,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.63 : 17,552.38 = 7,411.42 : x
  2. Step 2: Convert to fraction form
    12,717.63/17,552.38 = 7,411.42/x
  3. Step 3: Cross multiply
    12,717.63x = 17,552.38 × 7,411.42
  4. Step 4: Simplify right side
    12,717.63x = 130,088,158.12
  5. Step 5: Solve for x
    x = 130,088,158.12/12,717.63
  6. Step 6: Final answer
    x = 10,228.96

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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.