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Finding the Fourth Proportional to 21,506.37, 32,254.08 and 6,716.78

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Solution

The fourth proportional to 21,506.37, 32,254.08 and 6,716.78 is: 10,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.37 : 32,254.08 = 6,716.78 : x
  2. Step 2: Convert to fraction form
    21,506.37/32,254.08 = 6,716.78/x
  3. Step 3: Cross multiply
    21,506.37x = 32,254.08 × 6,716.78
  4. Step 4: Simplify right side
    21,506.37x = 216,643,559.46
  5. Step 5: Solve for x
    x = 216,643,559.46/21,506.37
  6. Step 6: Final answer
    x = 10,073.46

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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.