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Finding the Fourth Proportional to 22,381.87, 33,527.75 and 10,357.07

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Solution

The fourth proportional to 22,381.87, 33,527.75 and 10,357.07 is: 15,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.87 : 33,527.75 = 10,357.07 : x
  2. Step 2: Convert to fraction form
    22,381.87/33,527.75 = 10,357.07/x
  3. Step 3: Cross multiply
    22,381.87x = 33,527.75 × 10,357.07
  4. Step 4: Simplify right side
    22,381.87x = 347,249,219.41
  5. Step 5: Solve for x
    x = 347,249,219.41/22,381.87
  6. Step 6: Final answer
    x = 15,514.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.