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Finding the Fourth Proportional to 21,370, 32,051.04 and 5,785.60

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Solution

The fourth proportional to 21,370, 32,051.04 and 5,785.60 is: 8,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370 : 32,051.04 = 5,785.60 : x
  2. Step 2: Convert to fraction form
    21,370/32,051.04 = 5,785.60/x
  3. Step 3: Cross multiply
    21,370x = 32,051.04 × 5,785.60
  4. Step 4: Simplify right side
    21,370x = 185,434,497.02
  5. Step 5: Solve for x
    x = 185,434,497.02/21,370
  6. Step 6: Final answer
    x = 8,677.33

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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.