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Finding the Fourth Proportional to 12,434.96, 17,155.32 and 8,657.12

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Solution

The fourth proportional to 12,434.96, 17,155.32 and 8,657.12 is: 11,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.96 : 17,155.32 = 8,657.12 : x
  2. Step 2: Convert to fraction form
    12,434.96/17,155.32 = 8,657.12/x
  3. Step 3: Cross multiply
    12,434.96x = 17,155.32 × 8,657.12
  4. Step 4: Simplify right side
    12,434.96x = 148,515,663.88
  5. Step 5: Solve for x
    x = 148,515,663.88/12,434.96
  6. Step 6: Final answer
    x = 11,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.