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Finding the Fourth Proportional to 13,005.88, 19,508.82 and 6,085.24

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Solution

The fourth proportional to 13,005.88, 19,508.82 and 6,085.24 is: 9,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.88 : 19,508.82 = 6,085.24 : x
  2. Step 2: Convert to fraction form
    13,005.88/19,508.82 = 6,085.24/x
  3. Step 3: Cross multiply
    13,005.88x = 19,508.82 × 6,085.24
  4. Step 4: Simplify right side
    13,005.88x = 118,715,851.82
  5. Step 5: Solve for x
    x = 118,715,851.82/13,005.88
  6. Step 6: Final answer
    x = 9,127.86

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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.