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Finding the Fourth Proportional to 24,824.40, 34,257.60 and 13,646.40

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Solution

The fourth proportional to 24,824.40, 34,257.60 and 13,646.40 is: 18,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.40 : 34,257.60 = 13,646.40 : x
  2. Step 2: Convert to fraction form
    24,824.40/34,257.60 = 13,646.40/x
  3. Step 3: Cross multiply
    24,824.40x = 34,257.60 × 13,646.40
  4. Step 4: Simplify right side
    24,824.40x = 467,492,912.64
  5. Step 5: Solve for x
    x = 467,492,912.64/24,824.40
  6. Step 6: Final answer
    x = 18,831.99

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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.