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Finding the Fourth Proportional to 21,302.70, 31,917.60 and 13,502.40

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Solution

The fourth proportional to 21,302.70, 31,917.60 and 13,502.40 is: 20,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.70 : 31,917.60 = 13,502.40 : x
  2. Step 2: Convert to fraction form
    21,302.70/31,917.60 = 13,502.40/x
  3. Step 3: Cross multiply
    21,302.70x = 31,917.60 × 13,502.40
  4. Step 4: Simplify right side
    21,302.70x = 430,964,202.24
  5. Step 5: Solve for x
    x = 430,964,202.24/21,302.70
  6. Step 6: Final answer
    x = 20,230.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.