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Finding the Fourth Proportional to 21,599.40, 32,415.34 and 9,920.82

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Solution

The fourth proportional to 21,599.40, 32,415.34 and 9,920.82 is: 14,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.40 : 32,415.34 = 9,920.82 : x
  2. Step 2: Convert to fraction form
    21,599.40/32,415.34 = 9,920.82/x
  3. Step 3: Cross multiply
    21,599.40x = 32,415.34 × 9,920.82
  4. Step 4: Simplify right side
    21,599.40x = 321,586,753.38
  5. Step 5: Solve for x
    x = 321,586,753.38/21,599.40
  6. Step 6: Final answer
    x = 14,888.69

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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.