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Finding the Fourth Proportional to 23,201, 34,807.44 and 7,618.76

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Solution

The fourth proportional to 23,201, 34,807.44 and 7,618.76 is: 11,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201 : 34,807.44 = 7,618.76 : x
  2. Step 2: Convert to fraction form
    23,201/34,807.44 = 7,618.76/x
  3. Step 3: Cross multiply
    23,201x = 34,807.44 × 7,618.76
  4. Step 4: Simplify right side
    23,201x = 265,189,531.57
  5. Step 5: Solve for x
    x = 265,189,531.57/23,201
  6. Step 6: Final answer
    x = 11,430.09

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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.