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Finding the Fourth Proportional to 24,005.16, 33,089.22 and 16,920.36

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Solution

The fourth proportional to 24,005.16, 33,089.22 and 16,920.36 is: 23,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.16 : 33,089.22 = 16,920.36 : x
  2. Step 2: Convert to fraction form
    24,005.16/33,089.22 = 16,920.36/x
  3. Step 3: Cross multiply
    24,005.16x = 33,089.22 × 16,920.36
  4. Step 4: Simplify right side
    24,005.16x = 559,881,514.52
  5. Step 5: Solve for x
    x = 559,881,514.52/24,005.16
  6. Step 6: Final answer
    x = 23,323.38

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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.