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Finding the Fourth Proportional to 15,791.06, 23,684.66 and 9,868.47

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Solution

The fourth proportional to 15,791.06, 23,684.66 and 9,868.47 is: 14,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.06 : 23,684.66 = 9,868.47 : x
  2. Step 2: Convert to fraction form
    15,791.06/23,684.66 = 9,868.47/x
  3. Step 3: Cross multiply
    15,791.06x = 23,684.66 × 9,868.47
  4. Step 4: Simplify right side
    15,791.06x = 233,731,356.67
  5. Step 5: Solve for x
    x = 233,731,356.67/15,791.06
  6. Step 6: Final answer
    x = 14,801.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.