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Finding the Fourth Proportional to 22,841.64, 31,512.12 and 13,887.72

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Solution

The fourth proportional to 22,841.64, 31,512.12 and 13,887.72 is: 19,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.64 : 31,512.12 = 13,887.72 : x
  2. Step 2: Convert to fraction form
    22,841.64/31,512.12 = 13,887.72/x
  3. Step 3: Cross multiply
    22,841.64x = 31,512.12 × 13,887.72
  4. Step 4: Simplify right side
    22,841.64x = 437,631,499.17
  5. Step 5: Solve for x
    x = 437,631,499.17/22,841.64
  6. Step 6: Final answer
    x = 19,159.37

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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.