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Finding the Fourth Proportional to 23,141.52, 34,705.98 and 6,500.52

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Solution

The fourth proportional to 23,141.52, 34,705.98 and 6,500.52 is: 9,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.52 : 34,705.98 = 6,500.52 : x
  2. Step 2: Convert to fraction form
    23,141.52/34,705.98 = 6,500.52/x
  3. Step 3: Cross multiply
    23,141.52x = 34,705.98 × 6,500.52
  4. Step 4: Simplify right side
    23,141.52x = 225,606,917.11
  5. Step 5: Solve for x
    x = 225,606,917.11/23,141.52
  6. Step 6: Final answer
    x = 9,749.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.