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Finding the Fourth Proportional to 24,962, 37,471.80 and 12,675.92

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Solution

The fourth proportional to 24,962, 37,471.80 and 12,675.92 is: 19,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,962 : 37,471.80 = 12,675.92 : x
  2. Step 2: Convert to fraction form
    24,962/37,471.80 = 12,675.92/x
  3. Step 3: Cross multiply
    24,962x = 37,471.80 × 12,675.92
  4. Step 4: Simplify right side
    24,962x = 474,989,539.06
  5. Step 5: Solve for x
    x = 474,989,539.06/24,962
  6. Step 6: Final answer
    x = 19,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.