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Finding the Fourth Proportional to 15,396, 23,083.67 and 7,904.10

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Solution

The fourth proportional to 15,396, 23,083.67 and 7,904.10 is: 11,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396 : 23,083.67 = 7,904.10 : x
  2. Step 2: Convert to fraction form
    15,396/23,083.67 = 7,904.10/x
  3. Step 3: Cross multiply
    15,396x = 23,083.67 × 7,904.10
  4. Step 4: Simplify right side
    15,396x = 182,455,596.53
  5. Step 5: Solve for x
    x = 182,455,596.53/15,396
  6. Step 6: Final answer
    x = 11,850.84

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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.