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Finding the Fourth Proportional to 24,824.40, 37,204.20 and 10,021.20

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Solution

The fourth proportional to 24,824.40, 37,204.20 and 10,021.20 is: 15,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.40 : 37,204.20 = 10,021.20 : x
  2. Step 2: Convert to fraction form
    24,824.40/37,204.20 = 10,021.20/x
  3. Step 3: Cross multiply
    24,824.40x = 37,204.20 × 10,021.20
  4. Step 4: Simplify right side
    24,824.40x = 372,830,729.04
  5. Step 5: Solve for x
    x = 372,830,729.04/24,824.40
  6. Step 6: Final answer
    x = 15,018.72

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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.