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Finding the Fourth Proportional to 21,830.66, 32,696.76 and 15,286.07

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Solution

The fourth proportional to 21,830.66, 32,696.76 and 15,286.07 is: 22,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.66 : 32,696.76 = 15,286.07 : x
  2. Step 2: Convert to fraction form
    21,830.66/32,696.76 = 15,286.07/x
  3. Step 3: Cross multiply
    21,830.66x = 32,696.76 × 15,286.07
  4. Step 4: Simplify right side
    21,830.66x = 499,804,722.22
  5. Step 5: Solve for x
    x = 499,804,722.22/21,830.66
  6. Step 6: Final answer
    x = 22,894.62

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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.