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Finding the Fourth Proportional to 13,778.91, 19,010.61 and 7,808.40

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Solution

The fourth proportional to 13,778.91, 19,010.61 and 7,808.40 is: 10,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.91 : 19,010.61 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    13,778.91/19,010.61 = 7,808.40/x
  3. Step 3: Cross multiply
    13,778.91x = 19,010.61 × 7,808.40
  4. Step 4: Simplify right side
    13,778.91x = 148,442,447.12
  5. Step 5: Solve for x
    x = 148,442,447.12/13,778.91
  6. Step 6: Final answer
    x = 10,773.16

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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.