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Finding the Fourth Proportional to 15,727.53, 23,580.36 and 6,957.66

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Solution

The fourth proportional to 15,727.53, 23,580.36 and 6,957.66 is: 10,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.53 : 23,580.36 = 6,957.66 : x
  2. Step 2: Convert to fraction form
    15,727.53/23,580.36 = 6,957.66/x
  3. Step 3: Cross multiply
    15,727.53x = 23,580.36 × 6,957.66
  4. Step 4: Simplify right side
    15,727.53x = 164,064,127.56
  5. Step 5: Solve for x
    x = 164,064,127.56/15,727.53
  6. Step 6: Final answer
    x = 10,431.65

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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.