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Finding the Fourth Proportional to 14,230.68, 19,636.85 and 8,261.19

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Solution

The fourth proportional to 14,230.68, 19,636.85 and 8,261.19 is: 11,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.68 : 19,636.85 = 8,261.19 : x
  2. Step 2: Convert to fraction form
    14,230.68/19,636.85 = 8,261.19/x
  3. Step 3: Cross multiply
    14,230.68x = 19,636.85 × 8,261.19
  4. Step 4: Simplify right side
    14,230.68x = 162,223,695.87
  5. Step 5: Solve for x
    x = 162,223,695.87/14,230.68
  6. Step 6: Final answer
    x = 11,399.57

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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.