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Finding the Fourth Proportional to 22,609.76, 31,201.29 and 12,538.22

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Solution

The fourth proportional to 22,609.76, 31,201.29 and 12,538.22 is: 17,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.76 : 31,201.29 = 12,538.22 : x
  2. Step 2: Convert to fraction form
    22,609.76/31,201.29 = 12,538.22/x
  3. Step 3: Cross multiply
    22,609.76x = 31,201.29 × 12,538.22
  4. Step 4: Simplify right side
    22,609.76x = 391,208,482.30
  5. Step 5: Solve for x
    x = 391,208,482.30/22,609.76
  6. Step 6: Final answer
    x = 17,302.64

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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.