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Finding the Fourth Proportional to 12,503.66, 17,261.32 and 9,664.62

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Solution

The fourth proportional to 12,503.66, 17,261.32 and 9,664.62 is: 13,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.66 : 17,261.32 = 9,664.62 : x
  2. Step 2: Convert to fraction form
    12,503.66/17,261.32 = 9,664.62/x
  3. Step 3: Cross multiply
    12,503.66x = 17,261.32 × 9,664.62
  4. Step 4: Simplify right side
    12,503.66x = 166,824,187.93
  5. Step 5: Solve for x
    x = 166,824,187.93/12,503.66
  6. Step 6: Final answer
    x = 13,342.03

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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.