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Finding the Fourth Proportional to 15,584.11, 21,505.74 and 8,510.56

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Solution

The fourth proportional to 15,584.11, 21,505.74 and 8,510.56 is: 11,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.11 : 21,505.74 = 8,510.56 : x
  2. Step 2: Convert to fraction form
    15,584.11/21,505.74 = 8,510.56/x
  3. Step 3: Cross multiply
    15,584.11x = 21,505.74 × 8,510.56
  4. Step 4: Simplify right side
    15,584.11x = 183,025,804.94
  5. Step 5: Solve for x
    x = 183,025,804.94/15,584.11
  6. Step 6: Final answer
    x = 11,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.