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Finding the Fourth Proportional to 12,397.88, 17,109.98 and 7,683.08

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Solution

The fourth proportional to 12,397.88, 17,109.98 and 7,683.08 is: 10,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.88 : 17,109.98 = 7,683.08 : x
  2. Step 2: Convert to fraction form
    12,397.88/17,109.98 = 7,683.08/x
  3. Step 3: Cross multiply
    12,397.88x = 17,109.98 × 7,683.08
  4. Step 4: Simplify right side
    12,397.88x = 131,457,221.17
  5. Step 5: Solve for x
    x = 131,457,221.17/12,397.88
  6. Step 6: Final answer
    x = 10,603.21

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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.