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Finding the Fourth Proportional to 22,971.60, 31,704.26 and 14,024.30

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Solution

The fourth proportional to 22,971.60, 31,704.26 and 14,024.30 is: 19,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.60 : 31,704.26 = 14,024.30 : x
  2. Step 2: Convert to fraction form
    22,971.60/31,704.26 = 14,024.30/x
  3. Step 3: Cross multiply
    22,971.60x = 31,704.26 × 14,024.30
  4. Step 4: Simplify right side
    22,971.60x = 444,630,053.52
  5. Step 5: Solve for x
    x = 444,630,053.52/22,971.60
  6. Step 6: Final answer
    x = 19,355.64

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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.