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Finding the Fourth Proportional to 23,125.50, 34,694.01 and 6,709.50

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Solution

The fourth proportional to 23,125.50, 34,694.01 and 6,709.50 is: 10,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.50 : 34,694.01 = 6,709.50 : x
  2. Step 2: Convert to fraction form
    23,125.50/34,694.01 = 6,709.50/x
  3. Step 3: Cross multiply
    23,125.50x = 34,694.01 × 6,709.50
  4. Step 4: Simplify right side
    23,125.50x = 232,779,460.10
  5. Step 5: Solve for x
    x = 232,779,460.10/23,125.50
  6. Step 6: Final answer
    x = 10,065.92

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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.