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Finding the Fourth Proportional to 22,578.37, 31,155.06 and 12,504.32

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Solution

The fourth proportional to 22,578.37, 31,155.06 and 12,504.32 is: 17,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.37 : 31,155.06 = 12,504.32 : x
  2. Step 2: Convert to fraction form
    22,578.37/31,155.06 = 12,504.32/x
  3. Step 3: Cross multiply
    22,578.37x = 31,155.06 × 12,504.32
  4. Step 4: Simplify right side
    22,578.37x = 389,572,839.86
  5. Step 5: Solve for x
    x = 389,572,839.86/22,578.37
  6. Step 6: Final answer
    x = 17,254.25

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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.