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Finding the Fourth Proportional to 12,810.42, 17,678.25 and 8,098.58

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Solution

The fourth proportional to 12,810.42, 17,678.25 and 8,098.58 is: 11,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.42 : 17,678.25 = 8,098.58 : x
  2. Step 2: Convert to fraction form
    12,810.42/17,678.25 = 8,098.58/x
  3. Step 3: Cross multiply
    12,810.42x = 17,678.25 × 8,098.58
  4. Step 4: Simplify right side
    12,810.42x = 143,168,721.89
  5. Step 5: Solve for x
    x = 143,168,721.89/12,810.42
  6. Step 6: Final answer
    x = 11,175.96

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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.