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Finding the Fourth Proportional to 12,019.59, 16,580.97 and 8,045.93

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Solution

The fourth proportional to 12,019.59, 16,580.97 and 8,045.93 is: 11,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.59 : 16,580.97 = 8,045.93 : x
  2. Step 2: Convert to fraction form
    12,019.59/16,580.97 = 8,045.93/x
  3. Step 3: Cross multiply
    12,019.59x = 16,580.97 × 8,045.93
  4. Step 4: Simplify right side
    12,019.59x = 133,409,365.40
  5. Step 5: Solve for x
    x = 133,409,365.40/12,019.59
  6. Step 6: Final answer
    x = 11,099.33

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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.