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Finding the Fourth Proportional to 12,521.26, 17,278.68 and 6,854.93

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Solution

The fourth proportional to 12,521.26, 17,278.68 and 6,854.93 is: 9,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.26 : 17,278.68 = 6,854.93 : x
  2. Step 2: Convert to fraction form
    12,521.26/17,278.68 = 6,854.93/x
  3. Step 3: Cross multiply
    12,521.26x = 17,278.68 × 6,854.93
  4. Step 4: Simplify right side
    12,521.26x = 118,444,021.22
  5. Step 5: Solve for x
    x = 118,444,021.22/12,521.26
  6. Step 6: Final answer
    x = 9,459.43

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