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Finding the Fourth Proportional to 23,294.28, 34,934.94 and 7,713.12

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Solution

The fourth proportional to 23,294.28, 34,934.94 and 7,713.12 is: 11,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.28 : 34,934.94 = 7,713.12 : x
  2. Step 2: Convert to fraction form
    23,294.28/34,934.94 = 7,713.12/x
  3. Step 3: Cross multiply
    23,294.28x = 34,934.94 × 7,713.12
  4. Step 4: Simplify right side
    23,294.28x = 269,457,384.41
  5. Step 5: Solve for x
    x = 269,457,384.41/23,294.28
  6. Step 6: Final answer
    x = 11,567.53

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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.