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Finding the Fourth Proportional to 13,568.99, 18,725.36 and 7,825.10

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Solution

The fourth proportional to 13,568.99, 18,725.36 and 7,825.10 is: 10,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.99 : 18,725.36 = 7,825.10 : x
  2. Step 2: Convert to fraction form
    13,568.99/18,725.36 = 7,825.10/x
  3. Step 3: Cross multiply
    13,568.99x = 18,725.36 × 7,825.10
  4. Step 4: Simplify right side
    13,568.99x = 146,527,681.78
  5. Step 5: Solve for x
    x = 146,527,681.78/13,568.99
  6. Step 6: Final answer
    x = 10,798.72

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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.