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Finding the Fourth Proportional to 24,847.62, 34,289.98 and 14,237.02

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Solution

The fourth proportional to 24,847.62, 34,289.98 and 14,237.02 is: 19,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.62 : 34,289.98 = 14,237.02 : x
  2. Step 2: Convert to fraction form
    24,847.62/34,289.98 = 14,237.02/x
  3. Step 3: Cross multiply
    24,847.62x = 34,289.98 × 14,237.02
  4. Step 4: Simplify right side
    24,847.62x = 488,187,131.06
  5. Step 5: Solve for x
    x = 488,187,131.06/24,847.62
  6. Step 6: Final answer
    x = 19,647.24

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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.