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Finding the Fourth Proportional to 22,609.34, 31,194.39 and 13,048.46

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Solution

The fourth proportional to 22,609.34, 31,194.39 and 13,048.46 is: 18,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.34 : 31,194.39 = 13,048.46 : x
  2. Step 2: Convert to fraction form
    22,609.34/31,194.39 = 13,048.46/x
  3. Step 3: Cross multiply
    22,609.34x = 31,194.39 × 13,048.46
  4. Step 4: Simplify right side
    22,609.34x = 407,038,750.14
  5. Step 5: Solve for x
    x = 407,038,750.14/22,609.34
  6. Step 6: Final answer
    x = 18,003.12

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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.