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Finding the Fourth Proportional to 13,084.14, 19,626.21 and 8,710.14

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Solution

The fourth proportional to 13,084.14, 19,626.21 and 8,710.14 is: 13,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.14 : 19,626.21 = 8,710.14 : x
  2. Step 2: Convert to fraction form
    13,084.14/19,626.21 = 8,710.14/x
  3. Step 3: Cross multiply
    13,084.14x = 19,626.21 × 8,710.14
  4. Step 4: Simplify right side
    13,084.14x = 170,947,036.77
  5. Step 5: Solve for x
    x = 170,947,036.77/13,084.14
  6. Step 6: Final answer
    x = 13,065.21

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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.