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Finding the Fourth Proportional to 15,744.61, 23,616.82 and 4,650.35

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Solution

The fourth proportional to 15,744.61, 23,616.82 and 4,650.35 is: 6,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.61 : 23,616.82 = 4,650.35 : x
  2. Step 2: Convert to fraction form
    15,744.61/23,616.82 = 4,650.35/x
  3. Step 3: Cross multiply
    15,744.61x = 23,616.82 × 4,650.35
  4. Step 4: Simplify right side
    15,744.61x = 109,826,340.46
  5. Step 5: Solve for x
    x = 109,826,340.46/15,744.61
  6. Step 6: Final answer
    x = 6,975.49

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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.