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Finding the Fourth Proportional to 12,624.50, 17,422.36 and 7,035.50

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Solution

The fourth proportional to 12,624.50, 17,422.36 and 7,035.50 is: 9,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.50 : 17,422.36 = 7,035.50 : x
  2. Step 2: Convert to fraction form
    12,624.50/17,422.36 = 7,035.50/x
  3. Step 3: Cross multiply
    12,624.50x = 17,422.36 × 7,035.50
  4. Step 4: Simplify right side
    12,624.50x = 122,575,013.78
  5. Step 5: Solve for x
    x = 122,575,013.78/12,624.50
  6. Step 6: Final answer
    x = 9,709.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.