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Finding the Fourth Proportional to 13,903.65, 19,184.85 and 7,853.76

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Solution

The fourth proportional to 13,903.65, 19,184.85 and 7,853.76 is: 10,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.65 : 19,184.85 = 7,853.76 : x
  2. Step 2: Convert to fraction form
    13,903.65/19,184.85 = 7,853.76/x
  3. Step 3: Cross multiply
    13,903.65x = 19,184.85 × 7,853.76
  4. Step 4: Simplify right side
    13,903.65x = 150,673,207.54
  5. Step 5: Solve for x
    x = 150,673,207.54/13,903.65
  6. Step 6: Final answer
    x = 10,836.95

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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.