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Finding the Fourth Proportional to 19,652.40, 29,490.75 and 7,965.72

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Solution

The fourth proportional to 19,652.40, 29,490.75 and 7,965.72 is: 11,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.40 : 29,490.75 = 7,965.72 : x
  2. Step 2: Convert to fraction form
    19,652.40/29,490.75 = 7,965.72/x
  3. Step 3: Cross multiply
    19,652.40x = 29,490.75 × 7,965.72
  4. Step 4: Simplify right side
    19,652.40x = 234,915,057.09
  5. Step 5: Solve for x
    x = 234,915,057.09/19,652.40
  6. Step 6: Final answer
    x = 11,953.50

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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.