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Finding the Fourth Proportional to 13,842.95, 19,102.59 and 7,792.83

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Solution

The fourth proportional to 13,842.95, 19,102.59 and 7,792.83 is: 10,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.95 : 19,102.59 = 7,792.83 : x
  2. Step 2: Convert to fraction form
    13,842.95/19,102.59 = 7,792.83/x
  3. Step 3: Cross multiply
    13,842.95x = 19,102.59 × 7,792.83
  4. Step 4: Simplify right side
    13,842.95x = 148,863,236.43
  5. Step 5: Solve for x
    x = 148,863,236.43/13,842.95
  6. Step 6: Final answer
    x = 10,753.73

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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.