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Finding the Fourth Proportional to 22,604, 31,193.52 and 13,172.56

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Solution

The fourth proportional to 22,604, 31,193.52 and 13,172.56 is: 18,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604 : 31,193.52 = 13,172.56 : x
  2. Step 2: Convert to fraction form
    22,604/31,193.52 = 13,172.56/x
  3. Step 3: Cross multiply
    22,604x = 31,193.52 × 13,172.56
  4. Step 4: Simplify right side
    22,604x = 410,898,513.81
  5. Step 5: Solve for x
    x = 410,898,513.81/22,604
  6. Step 6: Final answer
    x = 18,178.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.