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Finding the Fourth Proportional to 21,538.35, 32,288.05 and 7,684.11

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Solution

The fourth proportional to 21,538.35, 32,288.05 and 7,684.11 is: 11,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.35 : 32,288.05 = 7,684.11 : x
  2. Step 2: Convert to fraction form
    21,538.35/32,288.05 = 7,684.11/x
  3. Step 3: Cross multiply
    21,538.35x = 32,288.05 × 7,684.11
  4. Step 4: Simplify right side
    21,538.35x = 248,104,927.89
  5. Step 5: Solve for x
    x = 248,104,927.89/21,538.35
  6. Step 6: Final answer
    x = 11,519.22

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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.