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Finding the Fourth Proportional to 13,782.76, 19,024.47 and 10,250.75

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Solution

The fourth proportional to 13,782.76, 19,024.47 and 10,250.75 is: 14,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.76 : 19,024.47 = 10,250.75 : x
  2. Step 2: Convert to fraction form
    13,782.76/19,024.47 = 10,250.75/x
  3. Step 3: Cross multiply
    13,782.76x = 19,024.47 × 10,250.75
  4. Step 4: Simplify right side
    13,782.76x = 195,015,133.41
  5. Step 5: Solve for x
    x = 195,015,133.41/13,782.76
  6. Step 6: Final answer
    x = 14,149.21

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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.