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Finding the Fourth Proportional to 23,378, 35,066.68 and 8,581.12

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Solution

The fourth proportional to 23,378, 35,066.68 and 8,581.12 is: 12,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378 : 35,066.68 = 8,581.12 : x
  2. Step 2: Convert to fraction form
    23,378/35,066.68 = 8,581.12/x
  3. Step 3: Cross multiply
    23,378x = 35,066.68 × 8,581.12
  4. Step 4: Simplify right side
    23,378x = 300,911,389.08
  5. Step 5: Solve for x
    x = 300,911,389.08/23,378
  6. Step 6: Final answer
    x = 12,871.56

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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.