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Finding the Fourth Proportional to 23,101.65, 34,655.22 and 8,309.34

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Solution

The fourth proportional to 23,101.65, 34,655.22 and 8,309.34 is: 12,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.65 : 34,655.22 = 8,309.34 : x
  2. Step 2: Convert to fraction form
    23,101.65/34,655.22 = 8,309.34/x
  3. Step 3: Cross multiply
    23,101.65x = 34,655.22 × 8,309.34
  4. Step 4: Simplify right side
    23,101.65x = 287,962,005.75
  5. Step 5: Solve for x
    x = 287,962,005.75/23,101.65
  6. Step 6: Final answer
    x = 12,465.00

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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.