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Finding the Fourth Proportional to 21,665.84, 32,500.74 and 6,083.36

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Solution

The fourth proportional to 21,665.84, 32,500.74 and 6,083.36 is: 9,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.84 : 32,500.74 = 6,083.36 : x
  2. Step 2: Convert to fraction form
    21,665.84/32,500.74 = 6,083.36/x
  3. Step 3: Cross multiply
    21,665.84x = 32,500.74 × 6,083.36
  4. Step 4: Simplify right side
    21,665.84x = 197,713,701.69
  5. Step 5: Solve for x
    x = 197,713,701.69/21,665.84
  6. Step 6: Final answer
    x = 9,125.60

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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.