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Finding the Fourth Proportional to 13,792.95, 19,033.11 and 7,825.59

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Solution

The fourth proportional to 13,792.95, 19,033.11 and 7,825.59 is: 10,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.95 : 19,033.11 = 7,825.59 : x
  2. Step 2: Convert to fraction form
    13,792.95/19,033.11 = 7,825.59/x
  3. Step 3: Cross multiply
    13,792.95x = 19,033.11 × 7,825.59
  4. Step 4: Simplify right side
    13,792.95x = 148,945,315.28
  5. Step 5: Solve for x
    x = 148,945,315.28/13,792.95
  6. Step 6: Final answer
    x = 10,798.66

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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.