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Finding the Fourth Proportional to 13,810.60, 19,059.10 and 7,842.52

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Solution

The fourth proportional to 13,810.60, 19,059.10 and 7,842.52 is: 10,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.60 : 19,059.10 = 7,842.52 : x
  2. Step 2: Convert to fraction form
    13,810.60/19,059.10 = 7,842.52/x
  3. Step 3: Cross multiply
    13,810.60x = 19,059.10 × 7,842.52
  4. Step 4: Simplify right side
    13,810.60x = 149,471,372.93
  5. Step 5: Solve for x
    x = 149,471,372.93/13,810.60
  6. Step 6: Final answer
    x = 10,822.95

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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.