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Finding the Fourth Proportional to 29,844.91, 41,186.96 and 16,417.20

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Solution

The fourth proportional to 29,844.91, 41,186.96 and 16,417.20 is: 22,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844.91 : 41,186.96 = 16,417.20 : x
  2. Step 2: Convert to fraction form
    29,844.91/41,186.96 = 16,417.20/x
  3. Step 3: Cross multiply
    29,844.91x = 41,186.96 × 16,417.20
  4. Step 4: Simplify right side
    29,844.91x = 676,174,559.71
  5. Step 5: Solve for x
    x = 676,174,559.71/29,844.91
  6. Step 6: Final answer
    x = 22,656.28

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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.