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Finding the Fourth Proportional to 23,694, 35,541.18 and 8,111.76

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Solution

The fourth proportional to 23,694, 35,541.18 and 8,111.76 is: 12,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 35,541.18 = 8,111.76 : x
  2. Step 2: Convert to fraction form
    23,694/35,541.18 = 8,111.76/x
  3. Step 3: Cross multiply
    23,694x = 35,541.18 × 8,111.76
  4. Step 4: Simplify right side
    23,694x = 288,301,522.28
  5. Step 5: Solve for x
    x = 288,301,522.28/23,694
  6. Step 6: Final answer
    x = 12,167.70

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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.