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Finding the Fourth Proportional to 12,381.98, 17,088.48 and 8,136.50

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Solution

The fourth proportional to 12,381.98, 17,088.48 and 8,136.50 is: 11,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.98 : 17,088.48 = 8,136.50 : x
  2. Step 2: Convert to fraction form
    12,381.98/17,088.48 = 8,136.50/x
  3. Step 3: Cross multiply
    12,381.98x = 17,088.48 × 8,136.50
  4. Step 4: Simplify right side
    12,381.98x = 139,040,332.08
  5. Step 5: Solve for x
    x = 139,040,332.08/12,381.98
  6. Step 6: Final answer
    x = 11,229.25

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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.