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Finding the Fourth Proportional to 12,417.01, 17,136.09 and 7,702.81

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Solution

The fourth proportional to 12,417.01, 17,136.09 and 7,702.81 is: 10,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.01 : 17,136.09 = 7,702.81 : x
  2. Step 2: Convert to fraction form
    12,417.01/17,136.09 = 7,702.81/x
  3. Step 3: Cross multiply
    12,417.01x = 17,136.09 × 7,702.81
  4. Step 4: Simplify right side
    12,417.01x = 131,995,959.73
  5. Step 5: Solve for x
    x = 131,995,959.73/12,417.01
  6. Step 6: Final answer
    x = 10,630.26

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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.