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Finding the Fourth Proportional to 22,609.94, 31,200.84 and 12,538.53

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Solution

The fourth proportional to 22,609.94, 31,200.84 and 12,538.53 is: 17,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.94 : 31,200.84 = 12,538.53 : x
  2. Step 2: Convert to fraction form
    22,609.94/31,200.84 = 12,538.53/x
  3. Step 3: Cross multiply
    22,609.94x = 31,200.84 × 12,538.53
  4. Step 4: Simplify right side
    22,609.94x = 391,212,668.37
  5. Step 5: Solve for x
    x = 391,212,668.37/22,609.94
  6. Step 6: Final answer
    x = 17,302.69

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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.