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Finding the Fourth Proportional to 14,149.23, 19,528.64 and 9,369.27

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Solution

The fourth proportional to 14,149.23, 19,528.64 and 9,369.27 is: 12,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.23 : 19,528.64 = 9,369.27 : x
  2. Step 2: Convert to fraction form
    14,149.23/19,528.64 = 9,369.27/x
  3. Step 3: Cross multiply
    14,149.23x = 19,528.64 × 9,369.27
  4. Step 4: Simplify right side
    14,149.23x = 182,969,054.05
  5. Step 5: Solve for x
    x = 182,969,054.05/14,149.23
  6. Step 6: Final answer
    x = 12,931.38

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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.