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Finding the Fourth Proportional to 23,094.72, 34,642.08 and 9,234

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Solution

The fourth proportional to 23,094.72, 34,642.08 and 9,234 is: 13,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.72 : 34,642.08 = 9,234 : x
  2. Step 2: Convert to fraction form
    23,094.72/34,642.08 = 9,234/x
  3. Step 3: Cross multiply
    23,094.72x = 34,642.08 × 9,234
  4. Step 4: Simplify right side
    23,094.72x = 319,884,966.72
  5. Step 5: Solve for x
    x = 319,884,966.72/23,094.72
  6. Step 6: Final answer
    x = 13,851

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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.