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Finding the Fourth Proportional to 16,509.39, 22,782.99 and 9,435.78

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Solution

The fourth proportional to 16,509.39, 22,782.99 and 9,435.78 is: 13,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.39 : 22,782.99 = 9,435.78 : x
  2. Step 2: Convert to fraction form
    16,509.39/22,782.99 = 9,435.78/x
  3. Step 3: Cross multiply
    16,509.39x = 22,782.99 × 9,435.78
  4. Step 4: Simplify right side
    16,509.39x = 214,975,281.38
  5. Step 5: Solve for x
    x = 214,975,281.38/16,509.39
  6. Step 6: Final answer
    x = 13,021.39

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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.