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Finding the Fourth Proportional to 17,225.82, 25,838.46 and 9,814.50

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Solution

The fourth proportional to 17,225.82, 25,838.46 and 9,814.50 is: 14,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.82 : 25,838.46 = 9,814.50 : x
  2. Step 2: Convert to fraction form
    17,225.82/25,838.46 = 9,814.50/x
  3. Step 3: Cross multiply
    17,225.82x = 25,838.46 × 9,814.50
  4. Step 4: Simplify right side
    17,225.82x = 253,591,565.67
  5. Step 5: Solve for x
    x = 253,591,565.67/17,225.82
  6. Step 6: Final answer
    x = 14,721.60

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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.