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Finding the Fourth Proportional to 22,971.90, 31,677.90 and 21,632.52

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Solution

The fourth proportional to 22,971.90, 31,677.90 and 21,632.52 is: 29,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.90 : 31,677.90 = 21,632.52 : x
  2. Step 2: Convert to fraction form
    22,971.90/31,677.90 = 21,632.52/x
  3. Step 3: Cross multiply
    22,971.90x = 31,677.90 × 21,632.52
  4. Step 4: Simplify right side
    22,971.90x = 685,272,805.31
  5. Step 5: Solve for x
    x = 685,272,805.31/22,971.90
  6. Step 6: Final answer
    x = 29,830.92

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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.