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Finding the Fourth Proportional to 14,745.60, 20,314.32 and 10,261.65

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Solution

The fourth proportional to 14,745.60, 20,314.32 and 10,261.65 is: 14,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.60 : 20,314.32 = 10,261.65 : x
  2. Step 2: Convert to fraction form
    14,745.60/20,314.32 = 10,261.65/x
  3. Step 3: Cross multiply
    14,745.60x = 20,314.32 × 10,261.65
  4. Step 4: Simplify right side
    14,745.60x = 208,458,441.83
  5. Step 5: Solve for x
    x = 208,458,441.83/14,745.60
  6. Step 6: Final answer
    x = 14,136.99

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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.