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Finding the Fourth Proportional to 17,221.94, 25,833.04 and 4,742.65

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Solution

The fourth proportional to 17,221.94, 25,833.04 and 4,742.65 is: 7,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.94 : 25,833.04 = 4,742.65 : x
  2. Step 2: Convert to fraction form
    17,221.94/25,833.04 = 4,742.65/x
  3. Step 3: Cross multiply
    17,221.94x = 25,833.04 × 4,742.65
  4. Step 4: Simplify right side
    17,221.94x = 122,516,914.28
  5. Step 5: Solve for x
    x = 122,516,914.28/17,221.94
  6. Step 6: Final answer
    x = 7,114.00

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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.