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Finding the Fourth Proportional to 13,838.40, 20,750.88 and 6,441.12

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Solution

The fourth proportional to 13,838.40, 20,750.88 and 6,441.12 is: 9,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.40 : 20,750.88 = 6,441.12 : x
  2. Step 2: Convert to fraction form
    13,838.40/20,750.88 = 6,441.12/x
  3. Step 3: Cross multiply
    13,838.40x = 20,750.88 × 6,441.12
  4. Step 4: Simplify right side
    13,838.40x = 133,658,908.19
  5. Step 5: Solve for x
    x = 133,658,908.19/13,838.40
  6. Step 6: Final answer
    x = 9,658.55

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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.