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Finding the Fourth Proportional to 21,665.34, 32,495.49 and 6,084.30

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Solution

The fourth proportional to 21,665.34, 32,495.49 and 6,084.30 is: 9,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.34 : 32,495.49 = 6,084.30 : x
  2. Step 2: Convert to fraction form
    21,665.34/32,495.49 = 6,084.30/x
  3. Step 3: Cross multiply
    21,665.34x = 32,495.49 × 6,084.30
  4. Step 4: Simplify right side
    21,665.34x = 197,712,309.81
  5. Step 5: Solve for x
    x = 197,712,309.81/21,665.34
  6. Step 6: Final answer
    x = 9,125.74

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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.