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Finding the Fourth Proportional to 21,212.32, 31,605.32 and 20,020

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Solution

The fourth proportional to 21,212.32, 31,605.32 and 20,020 is: 29,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.32 : 31,605.32 = 20,020 : x
  2. Step 2: Convert to fraction form
    21,212.32/31,605.32 = 20,020/x
  3. Step 3: Cross multiply
    21,212.32x = 31,605.32 × 20,020
  4. Step 4: Simplify right side
    21,212.32x = 632,738,506.40
  5. Step 5: Solve for x
    x = 632,738,506.40/21,212.32
  6. Step 6: Final answer
    x = 29,828.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.