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Finding the Fourth Proportional to 13,811.55, 19,059.89 and 7,842.93

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Solution

The fourth proportional to 13,811.55, 19,059.89 and 7,842.93 is: 10,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.55 : 19,059.89 = 7,842.93 : x
  2. Step 2: Convert to fraction form
    13,811.55/19,059.89 = 7,842.93/x
  3. Step 3: Cross multiply
    13,811.55x = 19,059.89 × 7,842.93
  4. Step 4: Simplify right side
    13,811.55x = 149,485,343.86
  5. Step 5: Solve for x
    x = 149,485,343.86/13,811.55
  6. Step 6: Final answer
    x = 10,823.21

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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.