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Finding the Fourth Proportional to 24,509.29, 33,813.03 and 16,008.52

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Solution

The fourth proportional to 24,509.29, 33,813.03 and 16,008.52 is: 22,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.29 : 33,813.03 = 16,008.52 : x
  2. Step 2: Convert to fraction form
    24,509.29/33,813.03 = 16,008.52/x
  3. Step 3: Cross multiply
    24,509.29x = 33,813.03 × 16,008.52
  4. Step 4: Simplify right side
    24,509.29x = 541,296,567.02
  5. Step 5: Solve for x
    x = 541,296,567.02/24,509.29
  6. Step 6: Final answer
    x = 22,085.36

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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.