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Finding the Fourth Proportional to 13,773.07, 20,671.58 and 7,538.77

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Solution

The fourth proportional to 13,773.07, 20,671.58 and 7,538.77 is: 11,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.07 : 20,671.58 = 7,538.77 : x
  2. Step 2: Convert to fraction form
    13,773.07/20,671.58 = 7,538.77/x
  3. Step 3: Cross multiply
    13,773.07x = 20,671.58 × 7,538.77
  4. Step 4: Simplify right side
    13,773.07x = 155,838,287.16
  5. Step 5: Solve for x
    x = 155,838,287.16/13,773.07
  6. Step 6: Final answer
    x = 11,314.71

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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.