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Finding the Fourth Proportional to 22,971.54, 31,701.93 and 12,899.46

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Solution

The fourth proportional to 22,971.54, 31,701.93 and 12,899.46 is: 17,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.54 : 31,701.93 = 12,899.46 : x
  2. Step 2: Convert to fraction form
    22,971.54/31,701.93 = 12,899.46/x
  3. Step 3: Cross multiply
    22,971.54x = 31,701.93 × 12,899.46
  4. Step 4: Simplify right side
    22,971.54x = 408,937,777.96
  5. Step 5: Solve for x
    x = 408,937,777.96/22,971.54
  6. Step 6: Final answer
    x = 17,801.93

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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.