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Finding the Fourth Proportional to 22,827, 31,501.94 and 12,755.88

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Solution

The fourth proportional to 22,827, 31,501.94 and 12,755.88 is: 17,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827 : 31,501.94 = 12,755.88 : x
  2. Step 2: Convert to fraction form
    22,827/31,501.94 = 12,755.88/x
  3. Step 3: Cross multiply
    22,827x = 31,501.94 × 12,755.88
  4. Step 4: Simplify right side
    22,827x = 401,834,966.41
  5. Step 5: Solve for x
    x = 401,834,966.41/22,827
  6. Step 6: Final answer
    x = 17,603.49

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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.