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Finding the Fourth Proportional to 29,870.96, 41,221.93 and 16,442.16

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Solution

The fourth proportional to 29,870.96, 41,221.93 and 16,442.16 is: 22,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.96 : 41,221.93 = 16,442.16 : x
  2. Step 2: Convert to fraction form
    29,870.96/41,221.93 = 16,442.16/x
  3. Step 3: Cross multiply
    29,870.96x = 41,221.93 × 16,442.16
  4. Step 4: Simplify right side
    29,870.96x = 677,777,525.35
  5. Step 5: Solve for x
    x = 677,777,525.35/29,870.96
  6. Step 6: Final answer
    x = 22,690.18

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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.