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Finding the Fourth Proportional to 22,655.17, 31,263.96 and 12,446.34

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Solution

The fourth proportional to 22,655.17, 31,263.96 and 12,446.34 is: 17,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.17 : 31,263.96 = 12,446.34 : x
  2. Step 2: Convert to fraction form
    22,655.17/31,263.96 = 12,446.34/x
  3. Step 3: Cross multiply
    22,655.17x = 31,263.96 × 12,446.34
  4. Step 4: Simplify right side
    22,655.17x = 389,121,875.91
  5. Step 5: Solve for x
    x = 389,121,875.91/22,655.17
  6. Step 6: Final answer
    x = 17,175.85

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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.