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Finding the Fourth Proportional to 24,748, 34,153.87 and 13,570

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Solution

The fourth proportional to 24,748, 34,153.87 and 13,570 is: 18,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748 : 34,153.87 = 13,570 : x
  2. Step 2: Convert to fraction form
    24,748/34,153.87 = 13,570/x
  3. Step 3: Cross multiply
    24,748x = 34,153.87 × 13,570
  4. Step 4: Simplify right side
    24,748x = 463,468,015.90
  5. Step 5: Solve for x
    x = 463,468,015.90/24,748
  6. Step 6: Final answer
    x = 18,727.49

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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.