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Finding the Fourth Proportional to 12,503.91, 17,261.67 and 9,664.88

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Solution

The fourth proportional to 12,503.91, 17,261.67 and 9,664.88 is: 13,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.91 : 17,261.67 = 9,664.88 : x
  2. Step 2: Convert to fraction form
    12,503.91/17,261.67 = 9,664.88/x
  3. Step 3: Cross multiply
    12,503.91x = 17,261.67 × 9,664.88
  4. Step 4: Simplify right side
    12,503.91x = 166,831,907.00
  5. Step 5: Solve for x
    x = 166,831,907.00/12,503.91
  6. Step 6: Final answer
    x = 13,342.38

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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.