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Finding the Fourth Proportional to 19,564.75, 29,353.20 and 5,713.75

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Solution

The fourth proportional to 19,564.75, 29,353.20 and 5,713.75 is: 8,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.75 : 29,353.20 = 5,713.75 : x
  2. Step 2: Convert to fraction form
    19,564.75/29,353.20 = 5,713.75/x
  3. Step 3: Cross multiply
    19,564.75x = 29,353.20 × 5,713.75
  4. Step 4: Simplify right side
    19,564.75x = 167,716,846.50
  5. Step 5: Solve for x
    x = 167,716,846.50/19,564.75
  6. Step 6: Final answer
    x = 8,572.40

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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.