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Finding the Fourth Proportional to 24,871.95, 34,323.91 and 13,542.06

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Solution

The fourth proportional to 24,871.95, 34,323.91 and 13,542.06 is: 18,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.95 : 34,323.91 = 13,542.06 : x
  2. Step 2: Convert to fraction form
    24,871.95/34,323.91 = 13,542.06/x
  3. Step 3: Cross multiply
    24,871.95x = 34,323.91 × 13,542.06
  4. Step 4: Simplify right side
    24,871.95x = 464,816,485.07
  5. Step 5: Solve for x
    x = 464,816,485.07/24,871.95
  6. Step 6: Final answer
    x = 18,688.38

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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.