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Finding the Fourth Proportional to 24,206.74, 33,409.01 and 14,780.82

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Solution

The fourth proportional to 24,206.74, 33,409.01 and 14,780.82 is: 20,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.74 : 33,409.01 = 14,780.82 : x
  2. Step 2: Convert to fraction form
    24,206.74/33,409.01 = 14,780.82/x
  3. Step 3: Cross multiply
    24,206.74x = 33,409.01 × 14,780.82
  4. Step 4: Simplify right side
    24,206.74x = 493,812,563.19
  5. Step 5: Solve for x
    x = 493,812,563.19/24,206.74
  6. Step 6: Final answer
    x = 20,399.80

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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.