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Finding the Fourth Proportional to 24,634.32, 36,963 and 14,254.80

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Solution

The fourth proportional to 24,634.32, 36,963 and 14,254.80 is: 21,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.32 : 36,963 = 14,254.80 : x
  2. Step 2: Convert to fraction form
    24,634.32/36,963 = 14,254.80/x
  3. Step 3: Cross multiply
    24,634.32x = 36,963 × 14,254.80
  4. Step 4: Simplify right side
    24,634.32x = 526,900,172.40
  5. Step 5: Solve for x
    x = 526,900,172.40/24,634.32
  6. Step 6: Final answer
    x = 21,388.87

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