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Finding the Fourth Proportional to 20,838.30, 31,259.07 and 6,047.43

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Solution

The fourth proportional to 20,838.30, 31,259.07 and 6,047.43 is: 9,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.30 : 31,259.07 = 6,047.43 : x
  2. Step 2: Convert to fraction form
    20,838.30/31,259.07 = 6,047.43/x
  3. Step 3: Cross multiply
    20,838.30x = 31,259.07 × 6,047.43
  4. Step 4: Simplify right side
    20,838.30x = 189,037,037.69
  5. Step 5: Solve for x
    x = 189,037,037.69/20,838.30
  6. Step 6: Final answer
    x = 9,071.62

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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.