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Finding the Fourth Proportional to 15,689.90, 23,538.27 and 7,796.66

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Solution

The fourth proportional to 15,689.90, 23,538.27 and 7,796.66 is: 11,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.90 : 23,538.27 = 7,796.66 : x
  2. Step 2: Convert to fraction form
    15,689.90/23,538.27 = 7,796.66/x
  3. Step 3: Cross multiply
    15,689.90x = 23,538.27 × 7,796.66
  4. Step 4: Simplify right side
    15,689.90x = 183,519,888.18
  5. Step 5: Solve for x
    x = 183,519,888.18/15,689.90
  6. Step 6: Final answer
    x = 11,696.69

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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.