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Finding the Fourth Proportional to 23,174.78, 34,767.04 and 10,029.02

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Solution

The fourth proportional to 23,174.78, 34,767.04 and 10,029.02 is: 15,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.78 : 34,767.04 = 10,029.02 : x
  2. Step 2: Convert to fraction form
    23,174.78/34,767.04 = 10,029.02/x
  3. Step 3: Cross multiply
    23,174.78x = 34,767.04 × 10,029.02
  4. Step 4: Simplify right side
    23,174.78x = 348,679,339.50
  5. Step 5: Solve for x
    x = 348,679,339.50/23,174.78
  6. Step 6: Final answer
    x = 15,045.64

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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.