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Finding the Fourth Proportional to 17,207.81, 25,822.63 and 7,347.16

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Solution

The fourth proportional to 17,207.81, 25,822.63 and 7,347.16 is: 11,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.81 : 25,822.63 = 7,347.16 : x
  2. Step 2: Convert to fraction form
    17,207.81/25,822.63 = 7,347.16/x
  3. Step 3: Cross multiply
    17,207.81x = 25,822.63 × 7,347.16
  4. Step 4: Simplify right side
    17,207.81x = 189,722,865.12
  5. Step 5: Solve for x
    x = 189,722,865.12/17,207.81
  6. Step 6: Final answer
    x = 11,025.40

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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.