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Finding the Fourth Proportional to 20,856.48, 31,281 and 10,323.12

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Solution

The fourth proportional to 20,856.48, 31,281 and 10,323.12 is: 15,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.48 : 31,281 = 10,323.12 : x
  2. Step 2: Convert to fraction form
    20,856.48/31,281 = 10,323.12/x
  3. Step 3: Cross multiply
    20,856.48x = 31,281 × 10,323.12
  4. Step 4: Simplify right side
    20,856.48x = 322,917,516.72
  5. Step 5: Solve for x
    x = 322,917,516.72/20,856.48
  6. Step 6: Final answer
    x = 15,482.84

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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.