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Finding the Fourth Proportional to 10,017.81, 13,826.25 and 5,985.21

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Solution

The fourth proportional to 10,017.81, 13,826.25 and 5,985.21 is: 8,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.81 : 13,826.25 = 5,985.21 : x
  2. Step 2: Convert to fraction form
    10,017.81/13,826.25 = 5,985.21/x
  3. Step 3: Cross multiply
    10,017.81x = 13,826.25 × 5,985.21
  4. Step 4: Simplify right side
    10,017.81x = 82,753,009.76
  5. Step 5: Solve for x
    x = 82,753,009.76/10,017.81
  6. Step 6: Final answer
    x = 8,260.59

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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.