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Finding the Fourth Proportional to 23,300, 34,938.12 and 7,712

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Solution

The fourth proportional to 23,300, 34,938.12 and 7,712 is: 11,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300 : 34,938.12 = 7,712 : x
  2. Step 2: Convert to fraction form
    23,300/34,938.12 = 7,712/x
  3. Step 3: Cross multiply
    23,300x = 34,938.12 × 7,712
  4. Step 4: Simplify right side
    23,300x = 269,442,781.44
  5. Step 5: Solve for x
    x = 269,442,781.44/23,300
  6. Step 6: Final answer
    x = 11,564.07

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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.