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Finding the Fourth Proportional to 22,386.45, 30,892.80 and 12,314.67

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Solution

The fourth proportional to 22,386.45, 30,892.80 and 12,314.67 is: 16,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.45 : 30,892.80 = 12,314.67 : x
  2. Step 2: Convert to fraction form
    22,386.45/30,892.80 = 12,314.67/x
  3. Step 3: Cross multiply
    22,386.45x = 30,892.80 × 12,314.67
  4. Step 4: Simplify right side
    22,386.45x = 380,434,637.38
  5. Step 5: Solve for x
    x = 380,434,637.38/22,386.45
  6. Step 6: Final answer
    x = 16,993.97

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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.