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Finding the Fourth Proportional to 29,876.34, 41,230.42 and 16,448.16

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Solution

The fourth proportional to 29,876.34, 41,230.42 and 16,448.16 is: 22,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876.34 : 41,230.42 = 16,448.16 : x
  2. Step 2: Convert to fraction form
    29,876.34/41,230.42 = 16,448.16/x
  3. Step 3: Cross multiply
    29,876.34x = 41,230.42 × 16,448.16
  4. Step 4: Simplify right side
    29,876.34x = 678,164,658.52
  5. Step 5: Solve for x
    x = 678,164,658.52/29,876.34
  6. Step 6: Final answer
    x = 22,699.05

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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.