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Finding the Fourth Proportional to 24,749, 34,153.80 and 13,571

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Solution

The fourth proportional to 24,749, 34,153.80 and 13,571 is: 18,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749 : 34,153.80 = 13,571 : x
  2. Step 2: Convert to fraction form
    24,749/34,153.80 = 13,571/x
  3. Step 3: Cross multiply
    24,749x = 34,153.80 × 13,571
  4. Step 4: Simplify right side
    24,749x = 463,501,219.80
  5. Step 5: Solve for x
    x = 463,501,219.80/24,749
  6. Step 6: Final answer
    x = 18,728.08

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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.