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Finding the Fourth Proportional to 12,185.66, 16,817.19 and 9,688.38

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Solution

The fourth proportional to 12,185.66, 16,817.19 and 9,688.38 is: 13,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.66 : 16,817.19 = 9,688.38 : x
  2. Step 2: Convert to fraction form
    12,185.66/16,817.19 = 9,688.38/x
  3. Step 3: Cross multiply
    12,185.66x = 16,817.19 × 9,688.38
  4. Step 4: Simplify right side
    12,185.66x = 162,931,327.25
  5. Step 5: Solve for x
    x = 162,931,327.25/12,185.66
  6. Step 6: Final answer
    x = 13,370.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.