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Finding the Fourth Proportional to 19,682.50, 29,527.80 and 7,995.70

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Solution

The fourth proportional to 19,682.50, 29,527.80 and 7,995.70 is: 11,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.50 : 29,527.80 = 7,995.70 : x
  2. Step 2: Convert to fraction form
    19,682.50/29,527.80 = 7,995.70/x
  3. Step 3: Cross multiply
    19,682.50x = 29,527.80 × 7,995.70
  4. Step 4: Simplify right side
    19,682.50x = 236,095,430.46
  5. Step 5: Solve for x
    x = 236,095,430.46/19,682.50
  6. Step 6: Final answer
    x = 11,995.20

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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.