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Finding the Fourth Proportional to 22,403.52, 30,914.64 and 12,975.12

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Solution

The fourth proportional to 22,403.52, 30,914.64 and 12,975.12 is: 17,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.52 : 30,914.64 = 12,975.12 : x
  2. Step 2: Convert to fraction form
    22,403.52/30,914.64 = 12,975.12/x
  3. Step 3: Cross multiply
    22,403.52x = 30,914.64 × 12,975.12
  4. Step 4: Simplify right side
    22,403.52x = 401,121,163.76
  5. Step 5: Solve for x
    x = 401,121,163.76/22,403.52
  6. Step 6: Final answer
    x = 17,904.38

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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.