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Finding the Fourth Proportional to 23,006.70, 34,501.32 and 8,212.86

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Solution

The fourth proportional to 23,006.70, 34,501.32 and 8,212.86 is: 12,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.70 : 34,501.32 = 8,212.86 : x
  2. Step 2: Convert to fraction form
    23,006.70/34,501.32 = 8,212.86/x
  3. Step 3: Cross multiply
    23,006.70x = 34,501.32 × 8,212.86
  4. Step 4: Simplify right side
    23,006.70x = 283,354,510.98
  5. Step 5: Solve for x
    x = 283,354,510.98/23,006.70
  6. Step 6: Final answer
    x = 12,316.17

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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.