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Finding the Fourth Proportional to 22,971.45, 31,704.04 and 14,024.11

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Solution

The fourth proportional to 22,971.45, 31,704.04 and 14,024.11 is: 19,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.45 : 31,704.04 = 14,024.11 : x
  2. Step 2: Convert to fraction form
    22,971.45/31,704.04 = 14,024.11/x
  3. Step 3: Cross multiply
    22,971.45x = 31,704.04 × 14,024.11
  4. Step 4: Simplify right side
    22,971.45x = 444,620,830.08
  5. Step 5: Solve for x
    x = 444,620,830.08/22,971.45
  6. Step 6: Final answer
    x = 19,355.36

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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.