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Finding the Fourth Proportional to 15,738.45, 23,602.17 and 4,642.20

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Solution

The fourth proportional to 15,738.45, 23,602.17 and 4,642.20 is: 6,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.45 : 23,602.17 = 4,642.20 : x
  2. Step 2: Convert to fraction form
    15,738.45/23,602.17 = 4,642.20/x
  3. Step 3: Cross multiply
    15,738.45x = 23,602.17 × 4,642.20
  4. Step 4: Simplify right side
    15,738.45x = 109,565,993.57
  5. Step 5: Solve for x
    x = 109,565,993.57/15,738.45
  6. Step 6: Final answer
    x = 6,961.68

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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.