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Finding the Fourth Proportional to 22,578.86, 31,158.99 and 12,507.45

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Solution

The fourth proportional to 22,578.86, 31,158.99 and 12,507.45 is: 17,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.86 : 31,158.99 = 12,507.45 : x
  2. Step 2: Convert to fraction form
    22,578.86/31,158.99 = 12,507.45/x
  3. Step 3: Cross multiply
    22,578.86x = 31,158.99 × 12,507.45
  4. Step 4: Simplify right side
    22,578.86x = 389,719,509.48
  5. Step 5: Solve for x
    x = 389,719,509.48/22,578.86
  6. Step 6: Final answer
    x = 17,260.38

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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.