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Finding the Fourth Proportional to 23,159.69, 31,960.40 and 12,549.32

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Solution

The fourth proportional to 23,159.69, 31,960.40 and 12,549.32 is: 17,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.69 : 31,960.40 = 12,549.32 : x
  2. Step 2: Convert to fraction form
    23,159.69/31,960.40 = 12,549.32/x
  3. Step 3: Cross multiply
    23,159.69x = 31,960.40 × 12,549.32
  4. Step 4: Simplify right side
    23,159.69x = 401,081,286.93
  5. Step 5: Solve for x
    x = 401,081,286.93/23,159.69
  6. Step 6: Final answer
    x = 17,318.08

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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.