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Finding the Fourth Proportional to 14,472.20, 21,705.01 and 6,971.94

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Solution

The fourth proportional to 14,472.20, 21,705.01 and 6,971.94 is: 10,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.20 : 21,705.01 = 6,971.94 : x
  2. Step 2: Convert to fraction form
    14,472.20/21,705.01 = 6,971.94/x
  3. Step 3: Cross multiply
    14,472.20x = 21,705.01 × 6,971.94
  4. Step 4: Simplify right side
    14,472.20x = 151,326,009.99
  5. Step 5: Solve for x
    x = 151,326,009.99/14,472.20
  6. Step 6: Final answer
    x = 10,456.32

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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.