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Finding the Fourth Proportional to 22,708.42, 31,337.15 and 12,636.47

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Solution

The fourth proportional to 22,708.42, 31,337.15 and 12,636.47 is: 17,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.42 : 31,337.15 = 12,636.47 : x
  2. Step 2: Convert to fraction form
    22,708.42/31,337.15 = 12,636.47/x
  3. Step 3: Cross multiply
    22,708.42x = 31,337.15 × 12,636.47
  4. Step 4: Simplify right side
    22,708.42x = 395,990,971.02
  5. Step 5: Solve for x
    x = 395,990,971.02/22,708.42
  6. Step 6: Final answer
    x = 17,438.07

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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.