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Finding the Fourth Proportional to 19,529.28, 29,295.29 and 7,842.50

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Solution

The fourth proportional to 19,529.28, 29,295.29 and 7,842.50 is: 11,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.28 : 29,295.29 = 7,842.50 : x
  2. Step 2: Convert to fraction form
    19,529.28/29,295.29 = 7,842.50/x
  3. Step 3: Cross multiply
    19,529.28x = 29,295.29 × 7,842.50
  4. Step 4: Simplify right side
    19,529.28x = 229,748,311.83
  5. Step 5: Solve for x
    x = 229,748,311.83/19,529.28
  6. Step 6: Final answer
    x = 11,764.30

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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.