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Finding the Fourth Proportional to 13,776.18, 19,014.58 and 7,811.40

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Solution

The fourth proportional to 13,776.18, 19,014.58 and 7,811.40 is: 10,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.18 : 19,014.58 = 7,811.40 : x
  2. Step 2: Convert to fraction form
    13,776.18/19,014.58 = 7,811.40/x
  3. Step 3: Cross multiply
    13,776.18x = 19,014.58 × 7,811.40
  4. Step 4: Simplify right side
    13,776.18x = 148,530,490.21
  5. Step 5: Solve for x
    x = 148,530,490.21/13,776.18
  6. Step 6: Final answer
    x = 10,781.69

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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.