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Finding the Fourth Proportional to 23,103.77, 34,659.90 and 7,312.77

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Solution

The fourth proportional to 23,103.77, 34,659.90 and 7,312.77 is: 10,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.77 : 34,659.90 = 7,312.77 : x
  2. Step 2: Convert to fraction form
    23,103.77/34,659.90 = 7,312.77/x
  3. Step 3: Cross multiply
    23,103.77x = 34,659.90 × 7,312.77
  4. Step 4: Simplify right side
    23,103.77x = 253,459,876.92
  5. Step 5: Solve for x
    x = 253,459,876.92/23,103.77
  6. Step 6: Final answer
    x = 10,970.50

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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.