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Finding the Fourth Proportional to 13,777.23, 20,671.95 and 7,853.90

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Solution

The fourth proportional to 13,777.23, 20,671.95 and 7,853.90 is: 11,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.23 : 20,671.95 = 7,853.90 : x
  2. Step 2: Convert to fraction form
    13,777.23/20,671.95 = 7,853.90/x
  3. Step 3: Cross multiply
    13,777.23x = 20,671.95 × 7,853.90
  4. Step 4: Simplify right side
    13,777.23x = 162,355,428.11
  5. Step 5: Solve for x
    x = 162,355,428.11/13,777.23
  6. Step 6: Final answer
    x = 11,784.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.