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Finding the Fourth Proportional to 19,762.50, 29,633.52 and 7,278.18

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Solution

The fourth proportional to 19,762.50, 29,633.52 and 7,278.18 is: 10,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.50 : 29,633.52 = 7,278.18 : x
  2. Step 2: Convert to fraction form
    19,762.50/29,633.52 = 7,278.18/x
  3. Step 3: Cross multiply
    19,762.50x = 29,633.52 × 7,278.18
  4. Step 4: Simplify right side
    19,762.50x = 215,678,092.59
  5. Step 5: Solve for x
    x = 215,678,092.59/19,762.50
  6. Step 6: Final answer
    x = 10,913.50

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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.