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Finding the Fourth Proportional to 23,076, 34,617.34 and 7,275.69

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Solution

The fourth proportional to 23,076, 34,617.34 and 7,275.69 is: 10,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 34,617.34 = 7,275.69 : x
  2. Step 2: Convert to fraction form
    23,076/34,617.34 = 7,275.69/x
  3. Step 3: Cross multiply
    23,076x = 34,617.34 × 7,275.69
  4. Step 4: Simplify right side
    23,076x = 251,865,043.56
  5. Step 5: Solve for x
    x = 251,865,043.56/23,076
  6. Step 6: Final answer
    x = 10,914.59

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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.