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Finding the Fourth Proportional to 13,315.26, 19,966.71 and 7,770.20

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Solution

The fourth proportional to 13,315.26, 19,966.71 and 7,770.20 is: 11,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.26 : 19,966.71 = 7,770.20 : x
  2. Step 2: Convert to fraction form
    13,315.26/19,966.71 = 7,770.20/x
  3. Step 3: Cross multiply
    13,315.26x = 19,966.71 × 7,770.20
  4. Step 4: Simplify right side
    13,315.26x = 155,145,330.04
  5. Step 5: Solve for x
    x = 155,145,330.04/13,315.26
  6. Step 6: Final answer
    x = 11,651.69

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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.