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Finding the Fourth Proportional to 20,858.76, 31,288.16 and 7,017.48

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Solution

The fourth proportional to 20,858.76, 31,288.16 and 7,017.48 is: 10,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.76 : 31,288.16 = 7,017.48 : x
  2. Step 2: Convert to fraction form
    20,858.76/31,288.16 = 7,017.48/x
  3. Step 3: Cross multiply
    20,858.76x = 31,288.16 × 7,017.48
  4. Step 4: Simplify right side
    20,858.76x = 219,564,037.04
  5. Step 5: Solve for x
    x = 219,564,037.04/20,858.76
  6. Step 6: Final answer
    x = 10,526.23

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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.