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Finding the Fourth Proportional to 15,629.81, 23,447.14 and 5,239.13

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Solution

The fourth proportional to 15,629.81, 23,447.14 and 5,239.13 is: 7,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629.81 : 23,447.14 = 5,239.13 : x
  2. Step 2: Convert to fraction form
    15,629.81/23,447.14 = 5,239.13/x
  3. Step 3: Cross multiply
    15,629.81x = 23,447.14 × 5,239.13
  4. Step 4: Simplify right side
    15,629.81x = 122,842,484.25
  5. Step 5: Solve for x
    x = 122,842,484.25/15,629.81
  6. Step 6: Final answer
    x = 7,859.50

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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.