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Finding the Fourth Proportional to 23,807.67, 35,712.01 and 8,013.18

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Solution

The fourth proportional to 23,807.67, 35,712.01 and 8,013.18 is: 12,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.67 : 35,712.01 = 8,013.18 : x
  2. Step 2: Convert to fraction form
    23,807.67/35,712.01 = 8,013.18/x
  3. Step 3: Cross multiply
    23,807.67x = 35,712.01 × 8,013.18
  4. Step 4: Simplify right side
    23,807.67x = 286,166,764.29
  5. Step 5: Solve for x
    x = 286,166,764.29/23,807.67
  6. Step 6: Final answer
    x = 12,019.94

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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.