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Finding the Fourth Proportional to 22,971.72, 31,701.06 and 13,035.72

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Solution

The fourth proportional to 22,971.72, 31,701.06 and 13,035.72 is: 17,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.72 : 31,701.06 = 13,035.72 : x
  2. Step 2: Convert to fraction form
    22,971.72/31,701.06 = 13,035.72/x
  3. Step 3: Cross multiply
    22,971.72x = 31,701.06 × 13,035.72
  4. Step 4: Simplify right side
    22,971.72x = 413,246,141.86
  5. Step 5: Solve for x
    x = 413,246,141.86/22,971.72
  6. Step 6: Final answer
    x = 17,989.34

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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.