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Finding the Fourth Proportional to 24,679, 34,057.83 and 13,501

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Solution

The fourth proportional to 24,679, 34,057.83 and 13,501 is: 18,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,679 : 34,057.83 = 13,501 : x
  2. Step 2: Convert to fraction form
    24,679/34,057.83 = 13,501/x
  3. Step 3: Cross multiply
    24,679x = 34,057.83 × 13,501
  4. Step 4: Simplify right side
    24,679x = 459,814,762.83
  5. Step 5: Solve for x
    x = 459,814,762.83/24,679
  6. Step 6: Final answer
    x = 18,631.82

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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.