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Finding the Fourth Proportional to 23,214.72, 31,999.98 and 19,431.21

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Solution

The fourth proportional to 23,214.72, 31,999.98 and 19,431.21 is: 26,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.72 : 31,999.98 = 19,431.21 : x
  2. Step 2: Convert to fraction form
    23,214.72/31,999.98 = 19,431.21/x
  3. Step 3: Cross multiply
    23,214.72x = 31,999.98 × 19,431.21
  4. Step 4: Simplify right side
    23,214.72x = 621,798,331.38
  5. Step 5: Solve for x
    x = 621,798,331.38/23,214.72
  6. Step 6: Final answer
    x = 26,784.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.