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Finding the Fourth Proportional to 22,586.58, 31,168.64 and 13,026.86

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Solution

The fourth proportional to 22,586.58, 31,168.64 and 13,026.86 is: 17,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.58 : 31,168.64 = 13,026.86 : x
  2. Step 2: Convert to fraction form
    22,586.58/31,168.64 = 13,026.86/x
  3. Step 3: Cross multiply
    22,586.58x = 31,168.64 × 13,026.86
  4. Step 4: Simplify right side
    22,586.58x = 406,029,466.64
  5. Step 5: Solve for x
    x = 406,029,466.64/22,586.58
  6. Step 6: Final answer
    x = 17,976.58

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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.