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Finding the Fourth Proportional to 16,510.52, 22,782.09 and 9,435.57

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Solution

The fourth proportional to 16,510.52, 22,782.09 and 9,435.57 is: 13,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.52 : 22,782.09 = 9,435.57 : x
  2. Step 2: Convert to fraction form
    16,510.52/22,782.09 = 9,435.57/x
  3. Step 3: Cross multiply
    16,510.52x = 22,782.09 × 9,435.57
  4. Step 4: Simplify right side
    16,510.52x = 214,962,040.32
  5. Step 5: Solve for x
    x = 214,962,040.32/16,510.52
  6. Step 6: Final answer
    x = 13,019.71

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