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Finding the Fourth Proportional to 24,401.68, 33,672.44 and 13,646.50

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Solution

The fourth proportional to 24,401.68, 33,672.44 and 13,646.50 is: 18,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.68 : 33,672.44 = 13,646.50 : x
  2. Step 2: Convert to fraction form
    24,401.68/33,672.44 = 13,646.50/x
  3. Step 3: Cross multiply
    24,401.68x = 33,672.44 × 13,646.50
  4. Step 4: Simplify right side
    24,401.68x = 459,510,952.46
  5. Step 5: Solve for x
    x = 459,510,952.46/24,401.68
  6. Step 6: Final answer
    x = 18,831.12

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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.