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Finding the Fourth Proportional to 34,196.94, 51,318.32 and 12,010.40

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Solution

The fourth proportional to 34,196.94, 51,318.32 and 12,010.40 is: 18,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.94 : 51,318.32 = 12,010.40 : x
  2. Step 2: Convert to fraction form
    34,196.94/51,318.32 = 12,010.40/x
  3. Step 3: Cross multiply
    34,196.94x = 51,318.32 × 12,010.40
  4. Step 4: Simplify right side
    34,196.94x = 616,353,550.53
  5. Step 5: Solve for x
    x = 616,353,550.53/34,196.94
  6. Step 6: Final answer
    x = 18,023.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.