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Finding the Fourth Proportional to 19,502.71, 29,259.74 and 7,022.50

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Solution

The fourth proportional to 19,502.71, 29,259.74 and 7,022.50 is: 10,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.71 : 29,259.74 = 7,022.50 : x
  2. Step 2: Convert to fraction form
    19,502.71/29,259.74 = 7,022.50/x
  3. Step 3: Cross multiply
    19,502.71x = 29,259.74 × 7,022.50
  4. Step 4: Simplify right side
    19,502.71x = 205,476,524.15
  5. Step 5: Solve for x
    x = 205,476,524.15/19,502.71
  6. Step 6: Final answer
    x = 10,535.79

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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.