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Finding the Fourth Proportional to 21,696.78, 32,549.53 and 9,216.71

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Solution

The fourth proportional to 21,696.78, 32,549.53 and 9,216.71 is: 13,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.78 : 32,549.53 = 9,216.71 : x
  2. Step 2: Convert to fraction form
    21,696.78/32,549.53 = 9,216.71/x
  3. Step 3: Cross multiply
    21,696.78x = 32,549.53 × 9,216.71
  4. Step 4: Simplify right side
    21,696.78x = 299,999,474.23
  5. Step 5: Solve for x
    x = 299,999,474.23/21,696.78
  6. Step 6: Final answer
    x = 13,826.91

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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.