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Finding the Fourth Proportional to 23,129.86, 34,695.75 and 7,334.56

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Solution

The fourth proportional to 23,129.86, 34,695.75 and 7,334.56 is: 11,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.86 : 34,695.75 = 7,334.56 : x
  2. Step 2: Convert to fraction form
    23,129.86/34,695.75 = 7,334.56/x
  3. Step 3: Cross multiply
    23,129.86x = 34,695.75 × 7,334.56
  4. Step 4: Simplify right side
    23,129.86x = 254,478,060.12
  5. Step 5: Solve for x
    x = 254,478,060.12/23,129.86
  6. Step 6: Final answer
    x = 11,002.14

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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.