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Finding the Fourth Proportional to 21,492.66, 32,226.05 and 9,644.25

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Solution

The fourth proportional to 21,492.66, 32,226.05 and 9,644.25 is: 14,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.66 : 32,226.05 = 9,644.25 : x
  2. Step 2: Convert to fraction form
    21,492.66/32,226.05 = 9,644.25/x
  3. Step 3: Cross multiply
    21,492.66x = 32,226.05 × 9,644.25
  4. Step 4: Simplify right side
    21,492.66x = 310,796,034.49
  5. Step 5: Solve for x
    x = 310,796,034.49/21,492.66
  6. Step 6: Final answer
    x = 14,460.57

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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.