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Finding the Fourth Proportional to 12,698.09, 17,525.31 and 7,918.82

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Solution

The fourth proportional to 12,698.09, 17,525.31 and 7,918.82 is: 10,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.09 : 17,525.31 = 7,918.82 : x
  2. Step 2: Convert to fraction form
    12,698.09/17,525.31 = 7,918.82/x
  3. Step 3: Cross multiply
    12,698.09x = 17,525.31 × 7,918.82
  4. Step 4: Simplify right side
    12,698.09x = 138,779,648.11
  5. Step 5: Solve for x
    x = 138,779,648.11/12,698.09
  6. Step 6: Final answer
    x = 10,929.18

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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.