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Finding the Fourth Proportional to 22,356.72, 30,840.48 and 13,978.08

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Solution

The fourth proportional to 22,356.72, 30,840.48 and 13,978.08 is: 19,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.72 : 30,840.48 = 13,978.08 : x
  2. Step 2: Convert to fraction form
    22,356.72/30,840.48 = 13,978.08/x
  3. Step 3: Cross multiply
    22,356.72x = 30,840.48 × 13,978.08
  4. Step 4: Simplify right side
    22,356.72x = 431,090,696.68
  5. Step 5: Solve for x
    x = 431,090,696.68/22,356.72
  6. Step 6: Final answer
    x = 19,282.38

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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.