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Finding the Fourth Proportional to 19,772.25, 29,655 and 6,624.60

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Solution

The fourth proportional to 19,772.25, 29,655 and 6,624.60 is: 9,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.25 : 29,655 = 6,624.60 : x
  2. Step 2: Convert to fraction form
    19,772.25/29,655 = 6,624.60/x
  3. Step 3: Cross multiply
    19,772.25x = 29,655 × 6,624.60
  4. Step 4: Simplify right side
    19,772.25x = 196,452,513
  5. Step 5: Solve for x
    x = 196,452,513/19,772.25
  6. Step 6: Final answer
    x = 9,935.77

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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.