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Finding the Fourth Proportional to 15,181.83, 22,767.27 and 6,417.42

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Solution

The fourth proportional to 15,181.83, 22,767.27 and 6,417.42 is: 9,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181.83 : 22,767.27 = 6,417.42 : x
  2. Step 2: Convert to fraction form
    15,181.83/22,767.27 = 6,417.42/x
  3. Step 3: Cross multiply
    15,181.83x = 22,767.27 × 6,417.42
  4. Step 4: Simplify right side
    15,181.83x = 146,107,133.84
  5. Step 5: Solve for x
    x = 146,107,133.84/15,181.83
  6. Step 6: Final answer
    x = 9,623.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.