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Finding the Fourth Proportional to 23,130.72, 31,918.86 and 12,921.62

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Solution

The fourth proportional to 23,130.72, 31,918.86 and 12,921.62 is: 17,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.72 : 31,918.86 = 12,921.62 : x
  2. Step 2: Convert to fraction form
    23,130.72/31,918.86 = 12,921.62/x
  3. Step 3: Cross multiply
    23,130.72x = 31,918.86 × 12,921.62
  4. Step 4: Simplify right side
    23,130.72x = 412,443,220.16
  5. Step 5: Solve for x
    x = 412,443,220.16/23,130.72
  6. Step 6: Final answer
    x = 17,830.97

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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.