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Finding the Fourth Proportional to 12,746.96, 17,592.36 and 8,031.16

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Solution

The fourth proportional to 12,746.96, 17,592.36 and 8,031.16 is: 11,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.96 : 17,592.36 = 8,031.16 : x
  2. Step 2: Convert to fraction form
    12,746.96/17,592.36 = 8,031.16/x
  3. Step 3: Cross multiply
    12,746.96x = 17,592.36 × 8,031.16
  4. Step 4: Simplify right side
    12,746.96x = 141,287,057.94
  5. Step 5: Solve for x
    x = 141,287,057.94/12,746.96
  6. Step 6: Final answer
    x = 11,083.98

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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.