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Finding the Fourth Proportional to 24,420.86, 33,705.70 and 14,352.56

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Solution

The fourth proportional to 24,420.86, 33,705.70 and 14,352.56 is: 19,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.86 : 33,705.70 = 14,352.56 : x
  2. Step 2: Convert to fraction form
    24,420.86/33,705.70 = 14,352.56/x
  3. Step 3: Cross multiply
    24,420.86x = 33,705.70 × 14,352.56
  4. Step 4: Simplify right side
    24,420.86x = 483,763,081.59
  5. Step 5: Solve for x
    x = 483,763,081.59/24,420.86
  6. Step 6: Final answer
    x = 19,809.42

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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.