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Finding the Fourth Proportional to 23,142.51, 34,713.90 and 5,612.49

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Solution

The fourth proportional to 23,142.51, 34,713.90 and 5,612.49 is: 8,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.51 : 34,713.90 = 5,612.49 : x
  2. Step 2: Convert to fraction form
    23,142.51/34,713.90 = 5,612.49/x
  3. Step 3: Cross multiply
    23,142.51x = 34,713.90 × 5,612.49
  4. Step 4: Simplify right side
    23,142.51x = 194,831,416.61
  5. Step 5: Solve for x
    x = 194,831,416.61/23,142.51
  6. Step 6: Final answer
    x = 8,418.77

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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.