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Finding the Fourth Proportional to 22,314.96, 30,795.57 and 12,756.42

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Solution

The fourth proportional to 22,314.96, 30,795.57 and 12,756.42 is: 17,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.96 : 30,795.57 = 12,756.42 : x
  2. Step 2: Convert to fraction form
    22,314.96/30,795.57 = 12,756.42/x
  3. Step 3: Cross multiply
    22,314.96x = 30,795.57 × 12,756.42
  4. Step 4: Simplify right side
    22,314.96x = 392,841,225.06
  5. Step 5: Solve for x
    x = 392,841,225.06/22,314.96
  6. Step 6: Final answer
    x = 17,604.39

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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.