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Finding the Fourth Proportional to 14,235.35, 19,644.38 and 7,947.59

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Solution

The fourth proportional to 14,235.35, 19,644.38 and 7,947.59 is: 10,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.35 : 19,644.38 = 7,947.59 : x
  2. Step 2: Convert to fraction form
    14,235.35/19,644.38 = 7,947.59/x
  3. Step 3: Cross multiply
    14,235.35x = 19,644.38 × 7,947.59
  4. Step 4: Simplify right side
    14,235.35x = 156,125,438.31
  5. Step 5: Solve for x
    x = 156,125,438.31/14,235.35
  6. Step 6: Final answer
    x = 10,967.45

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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.