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Finding the Fourth Proportional to 24,547, 33,874.86 and 13,369

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Solution

The fourth proportional to 24,547, 33,874.86 and 13,369 is: 18,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547 : 33,874.86 = 13,369 : x
  2. Step 2: Convert to fraction form
    24,547/33,874.86 = 13,369/x
  3. Step 3: Cross multiply
    24,547x = 33,874.86 × 13,369
  4. Step 4: Simplify right side
    24,547x = 452,873,003.34
  5. Step 5: Solve for x
    x = 452,873,003.34/24,547
  6. Step 6: Final answer
    x = 18,449.22

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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.