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Finding the Fourth Proportional to 13,772.31, 19,005.89 and 7,484.69

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Solution

The fourth proportional to 13,772.31, 19,005.89 and 7,484.69 is: 10,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.31 : 19,005.89 = 7,484.69 : x
  2. Step 2: Convert to fraction form
    13,772.31/19,005.89 = 7,484.69/x
  3. Step 3: Cross multiply
    13,772.31x = 19,005.89 × 7,484.69
  4. Step 4: Simplify right side
    13,772.31x = 142,253,062.37
  5. Step 5: Solve for x
    x = 142,253,062.37/13,772.31
  6. Step 6: Final answer
    x = 10,328.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.