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Finding the Fourth Proportional to 23,422.42, 32,322.81 and 13,352.50

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Solution

The fourth proportional to 23,422.42, 32,322.81 and 13,352.50 is: 18,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.42 : 32,322.81 = 13,352.50 : x
  2. Step 2: Convert to fraction form
    23,422.42/32,322.81 = 13,352.50/x
  3. Step 3: Cross multiply
    23,422.42x = 32,322.81 × 13,352.50
  4. Step 4: Simplify right side
    23,422.42x = 431,590,320.53
  5. Step 5: Solve for x
    x = 431,590,320.53/23,422.42
  6. Step 6: Final answer
    x = 18,426.38

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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.