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Finding the Fourth Proportional to 12,521.12, 17,278.56 and 6,931.68

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Solution

The fourth proportional to 12,521.12, 17,278.56 and 6,931.68 is: 9,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.12 : 17,278.56 = 6,931.68 : x
  2. Step 2: Convert to fraction form
    12,521.12/17,278.56 = 6,931.68/x
  3. Step 3: Cross multiply
    12,521.12x = 17,278.56 × 6,931.68
  4. Step 4: Simplify right side
    12,521.12x = 119,769,448.78
  5. Step 5: Solve for x
    x = 119,769,448.78/12,521.12
  6. Step 6: Final answer
    x = 9,565.39

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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.