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Finding the Fourth Proportional to 24,775.66, 37,174.43 and 10,013.41

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Solution

The fourth proportional to 24,775.66, 37,174.43 and 10,013.41 is: 15,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.66 : 37,174.43 = 10,013.41 : x
  2. Step 2: Convert to fraction form
    24,775.66/37,174.43 = 10,013.41/x
  3. Step 3: Cross multiply
    24,775.66x = 37,174.43 × 10,013.41
  4. Step 4: Simplify right side
    24,775.66x = 372,242,809.11
  5. Step 5: Solve for x
    x = 372,242,809.11/24,775.66
  6. Step 6: Final answer
    x = 15,024.54

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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.