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Finding the Fourth Proportional to 17,871.18, 26,807.16 and 6,783.08

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Solution

The fourth proportional to 17,871.18, 26,807.16 and 6,783.08 is: 10,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.18 : 26,807.16 = 6,783.08 : x
  2. Step 2: Convert to fraction form
    17,871.18/26,807.16 = 6,783.08/x
  3. Step 3: Cross multiply
    17,871.18x = 26,807.16 × 6,783.08
  4. Step 4: Simplify right side
    17,871.18x = 181,835,110.85
  5. Step 5: Solve for x
    x = 181,835,110.85/17,871.18
  6. Step 6: Final answer
    x = 10,174.77

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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.