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Finding the Fourth Proportional to 24,468.40, 33,747.60 and 16,498

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Solution

The fourth proportional to 24,468.40, 33,747.60 and 16,498 is: 22,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.40 : 33,747.60 = 16,498 : x
  2. Step 2: Convert to fraction form
    24,468.40/33,747.60 = 16,498/x
  3. Step 3: Cross multiply
    24,468.40x = 33,747.60 × 16,498
  4. Step 4: Simplify right side
    24,468.40x = 556,767,904.80
  5. Step 5: Solve for x
    x = 556,767,904.80/24,468.40
  6. Step 6: Final answer
    x = 22,754.57

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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.