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Finding the Fourth Proportional to 21,385.87, 32,083.61 and 7,534.99

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Solution

The fourth proportional to 21,385.87, 32,083.61 and 7,534.99 is: 11,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.87 : 32,083.61 = 7,534.99 : x
  2. Step 2: Convert to fraction form
    21,385.87/32,083.61 = 7,534.99/x
  3. Step 3: Cross multiply
    21,385.87x = 32,083.61 × 7,534.99
  4. Step 4: Simplify right side
    21,385.87x = 241,749,680.51
  5. Step 5: Solve for x
    x = 241,749,680.51/21,385.87
  6. Step 6: Final answer
    x = 11,304.18

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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.