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Finding the Fourth Proportional to 17,222.00, 25,833.13 and 4,742.71

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Solution

The fourth proportional to 17,222.00, 25,833.13 and 4,742.71 is: 7,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.00 : 25,833.13 = 4,742.71 : x
  2. Step 2: Convert to fraction form
    17,222.00/25,833.13 = 4,742.71/x
  3. Step 3: Cross multiply
    17,222.00x = 25,833.13 × 4,742.71
  4. Step 4: Simplify right side
    17,222.00x = 122,518,967.54
  5. Step 5: Solve for x
    x = 122,518,967.54/17,222.00
  6. Step 6: Final answer
    x = 7,114.10

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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.