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Finding the Fourth Proportional to 13,085.52, 19,619 and 6,156.24

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Solution

The fourth proportional to 13,085.52, 19,619 and 6,156.24 is: 9,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.52 : 19,619 = 6,156.24 : x
  2. Step 2: Convert to fraction form
    13,085.52/19,619 = 6,156.24/x
  3. Step 3: Cross multiply
    13,085.52x = 19,619 × 6,156.24
  4. Step 4: Simplify right side
    13,085.52x = 120,779,272.56
  5. Step 5: Solve for x
    x = 120,779,272.56/13,085.52
  6. Step 6: Final answer
    x = 9,229.99

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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.