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Finding the Fourth Proportional to 20,860.24, 31,283.88 and 7,006

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Solution

The fourth proportional to 20,860.24, 31,283.88 and 7,006 is: 10,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,860.24 : 31,283.88 = 7,006 : x
  2. Step 2: Convert to fraction form
    20,860.24/31,283.88 = 7,006/x
  3. Step 3: Cross multiply
    20,860.24x = 31,283.88 × 7,006
  4. Step 4: Simplify right side
    20,860.24x = 219,174,863.28
  5. Step 5: Solve for x
    x = 219,174,863.28/20,860.24
  6. Step 6: Final answer
    x = 10,506.82

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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.