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Finding the Fourth Proportional to 24,415.70, 33,681.49 and 16,444.08

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Solution

The fourth proportional to 24,415.70, 33,681.49 and 16,444.08 is: 22,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.70 : 33,681.49 = 16,444.08 : x
  2. Step 2: Convert to fraction form
    24,415.70/33,681.49 = 16,444.08/x
  3. Step 3: Cross multiply
    24,415.70x = 33,681.49 × 16,444.08
  4. Step 4: Simplify right side
    24,415.70x = 553,861,074.97
  5. Step 5: Solve for x
    x = 553,861,074.97/24,415.70
  6. Step 6: Final answer
    x = 22,684.63

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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.