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Finding the Fourth Proportional to 29,574.15, 40,813.32 and 16,146.12

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Solution

The fourth proportional to 29,574.15, 40,813.32 and 16,146.12 is: 22,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574.15 : 40,813.32 = 16,146.12 : x
  2. Step 2: Convert to fraction form
    29,574.15/40,813.32 = 16,146.12/x
  3. Step 3: Cross multiply
    29,574.15x = 40,813.32 × 16,146.12
  4. Step 4: Simplify right side
    29,574.15x = 658,976,762.32
  5. Step 5: Solve for x
    x = 658,976,762.32/29,574.15
  6. Step 6: Final answer
    x = 22,282.19

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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.