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Finding the Fourth Proportional to 25,366.40, 37,866.28 and 22,256

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Solution

The fourth proportional to 25,366.40, 37,866.28 and 22,256 is: 33,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366.40 : 37,866.28 = 22,256 : x
  2. Step 2: Convert to fraction form
    25,366.40/37,866.28 = 22,256/x
  3. Step 3: Cross multiply
    25,366.40x = 37,866.28 × 22,256
  4. Step 4: Simplify right side
    25,366.40x = 842,751,927.68
  5. Step 5: Solve for x
    x = 842,751,927.68/25,366.40
  6. Step 6: Final answer
    x = 33,223.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.