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Finding the Fourth Proportional to 24,385.59, 33,647.67 and 14,314.46

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Solution

The fourth proportional to 24,385.59, 33,647.67 and 14,314.46 is: 19,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.59 : 33,647.67 = 14,314.46 : x
  2. Step 2: Convert to fraction form
    24,385.59/33,647.67 = 14,314.46/x
  3. Step 3: Cross multiply
    24,385.59x = 33,647.67 × 14,314.46
  4. Step 4: Simplify right side
    24,385.59x = 481,648,058.07
  5. Step 5: Solve for x
    x = 481,648,058.07/24,385.59
  6. Step 6: Final answer
    x = 19,751.34

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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.