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Finding the Fourth Proportional to 29,844.86, 41,186.84 and 16,417.08

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Solution

The fourth proportional to 29,844.86, 41,186.84 and 16,417.08 is: 22,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844.86 : 41,186.84 = 16,417.08 : x
  2. Step 2: Convert to fraction form
    29,844.86/41,186.84 = 16,417.08/x
  3. Step 3: Cross multiply
    29,844.86x = 41,186.84 × 16,417.08
  4. Step 4: Simplify right side
    29,844.86x = 676,167,565.14
  5. Step 5: Solve for x
    x = 676,167,565.14/29,844.86
  6. Step 6: Final answer
    x = 22,656.08

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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.