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Finding the Fourth Proportional to 10,017.65, 13,835.70 and 6,825.41

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Solution

The fourth proportional to 10,017.65, 13,835.70 and 6,825.41 is: 9,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.65 : 13,835.70 = 6,825.41 : x
  2. Step 2: Convert to fraction form
    10,017.65/13,835.70 = 6,825.41/x
  3. Step 3: Cross multiply
    10,017.65x = 13,835.70 × 6,825.41
  4. Step 4: Simplify right side
    10,017.65x = 94,434,325.14
  5. Step 5: Solve for x
    x = 94,434,325.14/10,017.65
  6. Step 6: Final answer
    x = 9,426.79

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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.