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Finding the Fourth Proportional to 23,130.36, 34,693.92 and 6,489.72

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Solution

The fourth proportional to 23,130.36, 34,693.92 and 6,489.72 is: 9,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.36 : 34,693.92 = 6,489.72 : x
  2. Step 2: Convert to fraction form
    23,130.36/34,693.92 = 6,489.72/x
  3. Step 3: Cross multiply
    23,130.36x = 34,693.92 × 6,489.72
  4. Step 4: Simplify right side
    23,130.36x = 225,153,826.50
  5. Step 5: Solve for x
    x = 225,153,826.50/23,130.36
  6. Step 6: Final answer
    x = 9,734.13

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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.