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Finding the Fourth Proportional to 12,683.15, 17,502.58 and 7,017.47

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Solution

The fourth proportional to 12,683.15, 17,502.58 and 7,017.47 is: 9,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.15 : 17,502.58 = 7,017.47 : x
  2. Step 2: Convert to fraction form
    12,683.15/17,502.58 = 7,017.47/x
  3. Step 3: Cross multiply
    12,683.15x = 17,502.58 × 7,017.47
  4. Step 4: Simplify right side
    12,683.15x = 122,823,816.97
  5. Step 5: Solve for x
    x = 122,823,816.97/12,683.15
  6. Step 6: Final answer
    x = 9,684.02

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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.