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Finding the Fourth Proportional to 14,519.40, 20,038.68 and 8,232

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Solution

The fourth proportional to 14,519.40, 20,038.68 and 8,232 is: 11,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.40 : 20,038.68 = 8,232 : x
  2. Step 2: Convert to fraction form
    14,519.40/20,038.68 = 8,232/x
  3. Step 3: Cross multiply
    14,519.40x = 20,038.68 × 8,232
  4. Step 4: Simplify right side
    14,519.40x = 164,958,413.76
  5. Step 5: Solve for x
    x = 164,958,413.76/14,519.40
  6. Step 6: Final answer
    x = 11,361.24

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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.