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Finding the Fourth Proportional to 21,005.70, 31,472.10 and 13,606.35

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Solution

The fourth proportional to 21,005.70, 31,472.10 and 13,606.35 is: 20,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.70 : 31,472.10 = 13,606.35 : x
  2. Step 2: Convert to fraction form
    21,005.70/31,472.10 = 13,606.35/x
  3. Step 3: Cross multiply
    21,005.70x = 31,472.10 × 13,606.35
  4. Step 4: Simplify right side
    21,005.70x = 428,220,407.84
  5. Step 5: Solve for x
    x = 428,220,407.84/21,005.70
  6. Step 6: Final answer
    x = 20,385.91

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