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Finding the Fourth Proportional to 23,117.64, 31,904.16 and 13,046.16

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Solution

The fourth proportional to 23,117.64, 31,904.16 and 13,046.16 is: 18,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.64 : 31,904.16 = 13,046.16 : x
  2. Step 2: Convert to fraction form
    23,117.64/31,904.16 = 13,046.16/x
  3. Step 3: Cross multiply
    23,117.64x = 31,904.16 × 13,046.16
  4. Step 4: Simplify right side
    23,117.64x = 416,226,776.03
  5. Step 5: Solve for x
    x = 416,226,776.03/23,117.64
  6. Step 6: Final answer
    x = 18,004.73

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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.