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Finding the Fourth Proportional to 15,767.68, 23,652.02 and 5,905.08

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Solution

The fourth proportional to 15,767.68, 23,652.02 and 5,905.08 is: 8,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.68 : 23,652.02 = 5,905.08 : x
  2. Step 2: Convert to fraction form
    15,767.68/23,652.02 = 5,905.08/x
  3. Step 3: Cross multiply
    15,767.68x = 23,652.02 × 5,905.08
  4. Step 4: Simplify right side
    15,767.68x = 139,667,070.26
  5. Step 5: Solve for x
    x = 139,667,070.26/15,767.68
  6. Step 6: Final answer
    x = 8,857.81

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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.