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Finding the Fourth Proportional to 16,378.32, 22,595.40 and 11,413.20

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Solution

The fourth proportional to 16,378.32, 22,595.40 and 11,413.20 is: 15,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.32 : 22,595.40 = 11,413.20 : x
  2. Step 2: Convert to fraction form
    16,378.32/22,595.40 = 11,413.20/x
  3. Step 3: Cross multiply
    16,378.32x = 22,595.40 × 11,413.20
  4. Step 4: Simplify right side
    16,378.32x = 257,885,819.28
  5. Step 5: Solve for x
    x = 257,885,819.28/16,378.32
  6. Step 6: Final answer
    x = 15,745.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.