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Finding the Fourth Proportional to 19,693.25, 29,530.01 and 6,541.01

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Solution

The fourth proportional to 19,693.25, 29,530.01 and 6,541.01 is: 9,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.25 : 29,530.01 = 6,541.01 : x
  2. Step 2: Convert to fraction form
    19,693.25/29,530.01 = 6,541.01/x
  3. Step 3: Cross multiply
    19,693.25x = 29,530.01 × 6,541.01
  4. Step 4: Simplify right side
    19,693.25x = 193,155,910.36
  5. Step 5: Solve for x
    x = 193,155,910.36/19,693.25
  6. Step 6: Final answer
    x = 9,808.23

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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.