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Finding the Fourth Proportional to 22,528.96, 31,090.16 and 12,592.96

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Solution

The fourth proportional to 22,528.96, 31,090.16 and 12,592.96 is: 17,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528.96 : 31,090.16 = 12,592.96 : x
  2. Step 2: Convert to fraction form
    22,528.96/31,090.16 = 12,592.96/x
  3. Step 3: Cross multiply
    22,528.96x = 31,090.16 × 12,592.96
  4. Step 4: Simplify right side
    22,528.96x = 391,517,141.27
  5. Step 5: Solve for x
    x = 391,517,141.27/22,528.96
  6. Step 6: Final answer
    x = 17,378.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.