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Finding the Fourth Proportional to 24,824.40, 34,266.66 and 16,443.60

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Solution

The fourth proportional to 24,824.40, 34,266.66 and 16,443.60 is: 22,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.40 : 34,266.66 = 16,443.60 : x
  2. Step 2: Convert to fraction form
    24,824.40/34,266.66 = 16,443.60/x
  3. Step 3: Cross multiply
    24,824.40x = 34,266.66 × 16,443.60
  4. Step 4: Simplify right side
    24,824.40x = 563,467,250.38
  5. Step 5: Solve for x
    x = 563,467,250.38/24,824.40
  6. Step 6: Final answer
    x = 22,698.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.