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Finding the Fourth Proportional to 13,065.84, 19,591.56 and 6,810.24

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Solution

The fourth proportional to 13,065.84, 19,591.56 and 6,810.24 is: 10,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.84 : 19,591.56 = 6,810.24 : x
  2. Step 2: Convert to fraction form
    13,065.84/19,591.56 = 6,810.24/x
  3. Step 3: Cross multiply
    13,065.84x = 19,591.56 × 6,810.24
  4. Step 4: Simplify right side
    13,065.84x = 133,423,225.57
  5. Step 5: Solve for x
    x = 133,423,225.57/13,065.84
  6. Step 6: Final answer
    x = 10,211.61

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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.