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Finding the Fourth Proportional to 13,847.84, 19,109.13 and 7,560.20

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Solution

The fourth proportional to 13,847.84, 19,109.13 and 7,560.20 is: 10,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.84 : 19,109.13 = 7,560.20 : x
  2. Step 2: Convert to fraction form
    13,847.84/19,109.13 = 7,560.20/x
  3. Step 3: Cross multiply
    13,847.84x = 19,109.13 × 7,560.20
  4. Step 4: Simplify right side
    13,847.84x = 144,468,844.63
  5. Step 5: Solve for x
    x = 144,468,844.63/13,847.84
  6. Step 6: Final answer
    x = 10,432.59

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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.