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Finding the Fourth Proportional to 29,724.16, 41,019.16 and 16,295.98

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Solution

The fourth proportional to 29,724.16, 41,019.16 and 16,295.98 is: 22,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724.16 : 41,019.16 = 16,295.98 : x
  2. Step 2: Convert to fraction form
    29,724.16/41,019.16 = 16,295.98/x
  3. Step 3: Cross multiply
    29,724.16x = 41,019.16 × 16,295.98
  4. Step 4: Simplify right side
    29,724.16x = 668,447,410.98
  5. Step 5: Solve for x
    x = 668,447,410.98/29,724.16
  6. Step 6: Final answer
    x = 22,488.35

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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.