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Finding the Fourth Proportional to 24,900.98, 34,356.02 and 14,824.38

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Solution

The fourth proportional to 24,900.98, 34,356.02 and 14,824.38 is: 20,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900.98 : 34,356.02 = 14,824.38 : x
  2. Step 2: Convert to fraction form
    24,900.98/34,356.02 = 14,824.38/x
  3. Step 3: Cross multiply
    24,900.98x = 34,356.02 × 14,824.38
  4. Step 4: Simplify right side
    24,900.98x = 509,306,695.77
  5. Step 5: Solve for x
    x = 509,306,695.77/24,900.98
  6. Step 6: Final answer
    x = 20,453.28

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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.