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Finding the Fourth Proportional to 22,684.04, 31,293.78 and 13,247

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Solution

The fourth proportional to 22,684.04, 31,293.78 and 13,247 is: 18,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.04 : 31,293.78 = 13,247 : x
  2. Step 2: Convert to fraction form
    22,684.04/31,293.78 = 13,247/x
  3. Step 3: Cross multiply
    22,684.04x = 31,293.78 × 13,247
  4. Step 4: Simplify right side
    22,684.04x = 414,548,703.66
  5. Step 5: Solve for x
    x = 414,548,703.66/22,684.04
  6. Step 6: Final answer
    x = 18,274.91

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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.