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Finding the Fourth Proportional to 22,771.17, 31,422.74 and 12,699.02

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Solution

The fourth proportional to 22,771.17, 31,422.74 and 12,699.02 is: 17,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.17 : 31,422.74 = 12,699.02 : x
  2. Step 2: Convert to fraction form
    22,771.17/31,422.74 = 12,699.02/x
  3. Step 3: Cross multiply
    22,771.17x = 31,422.74 × 12,699.02
  4. Step 4: Simplify right side
    22,771.17x = 399,038,018.78
  5. Step 5: Solve for x
    x = 399,038,018.78/22,771.17
  6. Step 6: Final answer
    x = 17,523.83

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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.