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Finding the Fourth Proportional to 14,840.97, 22,270.50 and 7,725.93

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Solution

The fourth proportional to 14,840.97, 22,270.50 and 7,725.93 is: 11,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.97 : 22,270.50 = 7,725.93 : x
  2. Step 2: Convert to fraction form
    14,840.97/22,270.50 = 7,725.93/x
  3. Step 3: Cross multiply
    14,840.97x = 22,270.50 × 7,725.93
  4. Step 4: Simplify right side
    14,840.97x = 172,060,324.07
  5. Step 5: Solve for x
    x = 172,060,324.07/14,840.97
  6. Step 6: Final answer
    x = 11,593.60

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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.