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Finding the Fourth Proportional to 22,740.21, 31,384.22 and 13,308.75

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Solution

The fourth proportional to 22,740.21, 31,384.22 and 13,308.75 is: 18,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.21 : 31,384.22 = 13,308.75 : x
  2. Step 2: Convert to fraction form
    22,740.21/31,384.22 = 13,308.75/x
  3. Step 3: Cross multiply
    22,740.21x = 31,384.22 × 13,308.75
  4. Step 4: Simplify right side
    22,740.21x = 417,684,671.38
  5. Step 5: Solve for x
    x = 417,684,671.38/22,740.21
  6. Step 6: Final answer
    x = 18,367.67

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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.