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Finding the Fourth Proportional to 24,760.77, 34,172.01 and 13,584.93

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Solution

The fourth proportional to 24,760.77, 34,172.01 and 13,584.93 is: 18,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.77 : 34,172.01 = 13,584.93 : x
  2. Step 2: Convert to fraction form
    24,760.77/34,172.01 = 13,584.93/x
  3. Step 3: Cross multiply
    24,760.77x = 34,172.01 × 13,584.93
  4. Step 4: Simplify right side
    24,760.77x = 464,224,363.81
  5. Step 5: Solve for x
    x = 464,224,363.81/24,760.77
  6. Step 6: Final answer
    x = 18,748.38

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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.