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Finding the Fourth Proportional to 21,856.69, 32,785.06 and 9,368.61

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Solution

The fourth proportional to 21,856.69, 32,785.06 and 9,368.61 is: 14,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.69 : 32,785.06 = 9,368.61 : x
  2. Step 2: Convert to fraction form
    21,856.69/32,785.06 = 9,368.61/x
  3. Step 3: Cross multiply
    21,856.69x = 32,785.06 × 9,368.61
  4. Step 4: Simplify right side
    21,856.69x = 307,150,440.97
  5. Step 5: Solve for x
    x = 307,150,440.97/21,856.69
  6. Step 6: Final answer
    x = 14,052.93

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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.