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Finding the Fourth Proportional to 21,774.30, 32,617.71 and 10,674.06

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Solution

The fourth proportional to 21,774.30, 32,617.71 and 10,674.06 is: 15,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.30 : 32,617.71 = 10,674.06 : x
  2. Step 2: Convert to fraction form
    21,774.30/32,617.71 = 10,674.06/x
  3. Step 3: Cross multiply
    21,774.30x = 32,617.71 × 10,674.06
  4. Step 4: Simplify right side
    21,774.30x = 348,163,393.60
  5. Step 5: Solve for x
    x = 348,163,393.60/21,774.30
  6. Step 6: Final answer
    x = 15,989.65

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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.