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Finding the Fourth Proportional to 13,815.76, 19,065.75 and 7,528.14

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Solution

The fourth proportional to 13,815.76, 19,065.75 and 7,528.14 is: 10,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.76 : 19,065.75 = 7,528.14 : x
  2. Step 2: Convert to fraction form
    13,815.76/19,065.75 = 7,528.14/x
  3. Step 3: Cross multiply
    13,815.76x = 19,065.75 × 7,528.14
  4. Step 4: Simplify right side
    13,815.76x = 143,529,635.21
  5. Step 5: Solve for x
    x = 143,529,635.21/13,815.76
  6. Step 6: Final answer
    x = 10,388.83

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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.