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Finding the Fourth Proportional to 14,074.86, 19,420.61 and 8,024.99

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Solution

The fourth proportional to 14,074.86, 19,420.61 and 8,024.99 is: 11,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.86 : 19,420.61 = 8,024.99 : x
  2. Step 2: Convert to fraction form
    14,074.86/19,420.61 = 8,024.99/x
  3. Step 3: Cross multiply
    14,074.86x = 19,420.61 × 8,024.99
  4. Step 4: Simplify right side
    14,074.86x = 155,850,218.20
  5. Step 5: Solve for x
    x = 155,850,218.20/14,074.86
  6. Step 6: Final answer
    x = 11,072.95

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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.