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Finding the Fourth Proportional to 23,044.64, 31,801.62 and 12,973.16

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Solution

The fourth proportional to 23,044.64, 31,801.62 and 12,973.16 is: 17,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.64 : 31,801.62 = 12,973.16 : x
  2. Step 2: Convert to fraction form
    23,044.64/31,801.62 = 12,973.16/x
  3. Step 3: Cross multiply
    23,044.64x = 31,801.62 × 12,973.16
  4. Step 4: Simplify right side
    23,044.64x = 412,567,345.51
  5. Step 5: Solve for x
    x = 412,567,345.51/23,044.64
  6. Step 6: Final answer
    x = 17,902.97

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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.