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Finding the Fourth Proportional to 13,133.20, 19,639.86 and 9,803.74

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Solution

The fourth proportional to 13,133.20, 19,639.86 and 9,803.74 is: 14,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.20 : 19,639.86 = 9,803.74 : x
  2. Step 2: Convert to fraction form
    13,133.20/19,639.86 = 9,803.74/x
  3. Step 3: Cross multiply
    13,133.20x = 19,639.86 × 9,803.74
  4. Step 4: Simplify right side
    13,133.20x = 192,544,081.08
  5. Step 5: Solve for x
    x = 192,544,081.08/13,133.20
  6. Step 6: Final answer
    x = 14,660.87

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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.