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Finding the Fourth Proportional to 13,510.62, 18,639.36 and 7,844.40

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Solution

The fourth proportional to 13,510.62, 18,639.36 and 7,844.40 is: 10,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.62 : 18,639.36 = 7,844.40 : x
  2. Step 2: Convert to fraction form
    13,510.62/18,639.36 = 7,844.40/x
  3. Step 3: Cross multiply
    13,510.62x = 18,639.36 × 7,844.40
  4. Step 4: Simplify right side
    13,510.62x = 146,214,595.58
  5. Step 5: Solve for x
    x = 146,214,595.58/13,510.62
  6. Step 6: Final answer
    x = 10,822.20

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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.