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Finding the Fourth Proportional to 21,388.96, 32,086.32 and 7,534.72

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Solution

The fourth proportional to 21,388.96, 32,086.32 and 7,534.72 is: 11,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388.96 : 32,086.32 = 7,534.72 : x
  2. Step 2: Convert to fraction form
    21,388.96/32,086.32 = 7,534.72/x
  3. Step 3: Cross multiply
    21,388.96x = 32,086.32 × 7,534.72
  4. Step 4: Simplify right side
    21,388.96x = 241,761,437.03
  5. Step 5: Solve for x
    x = 241,761,437.03/21,388.96
  6. Step 6: Final answer
    x = 11,303.09

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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.