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Finding the Fourth Proportional to 22,580, 31,153.20 and 14,628.32

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Solution

The fourth proportional to 22,580, 31,153.20 and 14,628.32 is: 20,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580 : 31,153.20 = 14,628.32 : x
  2. Step 2: Convert to fraction form
    22,580/31,153.20 = 14,628.32/x
  3. Step 3: Cross multiply
    22,580x = 31,153.20 × 14,628.32
  4. Step 4: Simplify right side
    22,580x = 455,718,978.62
  5. Step 5: Solve for x
    x = 455,718,978.62/22,580
  6. Step 6: Final answer
    x = 20,182.42

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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.