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Finding the Fourth Proportional to 23,205.09, 34,802.05 and 10,713.12

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Solution

The fourth proportional to 23,205.09, 34,802.05 and 10,713.12 is: 16,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.09 : 34,802.05 = 10,713.12 : x
  2. Step 2: Convert to fraction form
    23,205.09/34,802.05 = 10,713.12/x
  3. Step 3: Cross multiply
    23,205.09x = 34,802.05 × 10,713.12
  4. Step 4: Simplify right side
    23,205.09x = 372,838,537.90
  5. Step 5: Solve for x
    x = 372,838,537.90/23,205.09
  6. Step 6: Final answer
    x = 16,067.10

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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.