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Finding the Fourth Proportional to 24,384, 33,636.96 and 16,412.64

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Solution

The fourth proportional to 24,384, 33,636.96 and 16,412.64 is: 22,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 33,636.96 = 16,412.64 : x
  2. Step 2: Convert to fraction form
    24,384/33,636.96 = 16,412.64/x
  3. Step 3: Cross multiply
    24,384x = 33,636.96 × 16,412.64
  4. Step 4: Simplify right side
    24,384x = 552,071,315.17
  5. Step 5: Solve for x
    x = 552,071,315.17/24,384
  6. Step 6: Final answer
    x = 22,640.72

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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.