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Finding the Fourth Proportional to 22,917.78, 31,621.73 and 14,971.68

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Solution

The fourth proportional to 22,917.78, 31,621.73 and 14,971.68 is: 20,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.78 : 31,621.73 = 14,971.68 : x
  2. Step 2: Convert to fraction form
    22,917.78/31,621.73 = 14,971.68/x
  3. Step 3: Cross multiply
    22,917.78x = 31,621.73 × 14,971.68
  4. Step 4: Simplify right side
    22,917.78x = 473,430,347.75
  5. Step 5: Solve for x
    x = 473,430,347.75/22,917.78
  6. Step 6: Final answer
    x = 20,657.78

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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.