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Finding the Fourth Proportional to 13,085.88, 19,599.12 and 6,497.34

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Solution

The fourth proportional to 13,085.88, 19,599.12 and 6,497.34 is: 9,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.88 : 19,599.12 = 6,497.34 : x
  2. Step 2: Convert to fraction form
    13,085.88/19,599.12 = 6,497.34/x
  3. Step 3: Cross multiply
    13,085.88x = 19,599.12 × 6,497.34
  4. Step 4: Simplify right side
    13,085.88x = 127,342,146.34
  5. Step 5: Solve for x
    x = 127,342,146.34/13,085.88
  6. Step 6: Final answer
    x = 9,731.26

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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.