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Finding the Fourth Proportional to 22,838.63, 31,520.34 and 13,407.19

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Solution

The fourth proportional to 22,838.63, 31,520.34 and 13,407.19 is: 18,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.63 : 31,520.34 = 13,407.19 : x
  2. Step 2: Convert to fraction form
    22,838.63/31,520.34 = 13,407.19/x
  3. Step 3: Cross multiply
    22,838.63x = 31,520.34 × 13,407.19
  4. Step 4: Simplify right side
    22,838.63x = 422,599,108.44
  5. Step 5: Solve for x
    x = 422,599,108.44/22,838.63
  6. Step 6: Final answer
    x = 18,503.70

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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.