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Finding the Fourth Proportional to 19,878.28, 29,825.57 and 10,515.79

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Solution

The fourth proportional to 19,878.28, 29,825.57 and 10,515.79 is: 15,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.28 : 29,825.57 = 10,515.79 : x
  2. Step 2: Convert to fraction form
    19,878.28/29,825.57 = 10,515.79/x
  3. Step 3: Cross multiply
    19,878.28x = 29,825.57 × 10,515.79
  4. Step 4: Simplify right side
    19,878.28x = 313,639,430.75
  5. Step 5: Solve for x
    x = 313,639,430.75/19,878.28
  6. Step 6: Final answer
    x = 15,778.00

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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.