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Finding the Fourth Proportional to 13,029.35, 19,570.17 and 7,774.61

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Solution

The fourth proportional to 13,029.35, 19,570.17 and 7,774.61 is: 11,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.35 : 19,570.17 = 7,774.61 : x
  2. Step 2: Convert to fraction form
    13,029.35/19,570.17 = 7,774.61/x
  3. Step 3: Cross multiply
    13,029.35x = 19,570.17 × 7,774.61
  4. Step 4: Simplify right side
    13,029.35x = 152,150,439.38
  5. Step 5: Solve for x
    x = 152,150,439.38/13,029.35
  6. Step 6: Final answer
    x = 11,677.52

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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.