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Finding the Fourth Proportional to 14,364.42, 21,542.42 and 5,597.24

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Solution

The fourth proportional to 14,364.42, 21,542.42 and 5,597.24 is: 8,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.42 : 21,542.42 = 5,597.24 : x
  2. Step 2: Convert to fraction form
    14,364.42/21,542.42 = 5,597.24/x
  3. Step 3: Cross multiply
    14,364.42x = 21,542.42 × 5,597.24
  4. Step 4: Simplify right side
    14,364.42x = 120,578,094.92
  5. Step 5: Solve for x
    x = 120,578,094.92/14,364.42
  6. Step 6: Final answer
    x = 8,394.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.