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Finding the Fourth Proportional to 23,871.99, 35,808.08 and 8,077.14

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Solution

The fourth proportional to 23,871.99, 35,808.08 and 8,077.14 is: 12,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.99 : 35,808.08 = 8,077.14 : x
  2. Step 2: Convert to fraction form
    23,871.99/35,808.08 = 8,077.14/x
  3. Step 3: Cross multiply
    23,871.99x = 35,808.08 × 8,077.14
  4. Step 4: Simplify right side
    23,871.99x = 289,226,875.29
  5. Step 5: Solve for x
    x = 289,226,875.29/23,871.99
  6. Step 6: Final answer
    x = 12,115.74

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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.