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Finding the Fourth Proportional to 13,816.76, 19,065.02 and 7,765.83

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Solution

The fourth proportional to 13,816.76, 19,065.02 and 7,765.83 is: 10,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.76 : 19,065.02 = 7,765.83 : x
  2. Step 2: Convert to fraction form
    13,816.76/19,065.02 = 7,765.83/x
  3. Step 3: Cross multiply
    13,816.76x = 19,065.02 × 7,765.83
  4. Step 4: Simplify right side
    13,816.76x = 148,055,665.44
  5. Step 5: Solve for x
    x = 148,055,665.44/13,816.76
  6. Step 6: Final answer
    x = 10,715.66

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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.