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Finding the Fourth Proportional to 24,725, 34,120.64 and 13,547

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Solution

The fourth proportional to 24,725, 34,120.64 and 13,547 is: 18,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725 : 34,120.64 = 13,547 : x
  2. Step 2: Convert to fraction form
    24,725/34,120.64 = 13,547/x
  3. Step 3: Cross multiply
    24,725x = 34,120.64 × 13,547
  4. Step 4: Simplify right side
    24,725x = 462,232,310.08
  5. Step 5: Solve for x
    x = 462,232,310.08/24,725
  6. Step 6: Final answer
    x = 18,694.94

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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.