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Finding the Fourth Proportional to 21,652, 32,476.72 and 5,856.80

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Solution

The fourth proportional to 21,652, 32,476.72 and 5,856.80 is: 8,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652 : 32,476.72 = 5,856.80 : x
  2. Step 2: Convert to fraction form
    21,652/32,476.72 = 5,856.80/x
  3. Step 3: Cross multiply
    21,652x = 32,476.72 × 5,856.80
  4. Step 4: Simplify right side
    21,652x = 190,209,653.70
  5. Step 5: Solve for x
    x = 190,209,653.70/21,652
  6. Step 6: Final answer
    x = 8,784.85

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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.