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Finding the Fourth Proportional to 23,205.15, 34,820.33 and 9,875.97

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Solution

The fourth proportional to 23,205.15, 34,820.33 and 9,875.97 is: 14,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.15 : 34,820.33 = 9,875.97 : x
  2. Step 2: Convert to fraction form
    23,205.15/34,820.33 = 9,875.97/x
  3. Step 3: Cross multiply
    23,205.15x = 34,820.33 × 9,875.97
  4. Step 4: Simplify right side
    23,205.15x = 343,884,485.09
  5. Step 5: Solve for x
    x = 343,884,485.09/23,205.15
  6. Step 6: Final answer
    x = 14,819.32

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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.