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Finding the Fourth Proportional to 22,980.74, 31,726.06 and 13,907.80

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Solution

The fourth proportional to 22,980.74, 31,726.06 and 13,907.80 is: 19,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.74 : 31,726.06 = 13,907.80 : x
  2. Step 2: Convert to fraction form
    22,980.74/31,726.06 = 13,907.80/x
  3. Step 3: Cross multiply
    22,980.74x = 31,726.06 × 13,907.80
  4. Step 4: Simplify right side
    22,980.74x = 441,239,697.27
  5. Step 5: Solve for x
    x = 441,239,697.27/22,980.74
  6. Step 6: Final answer
    x = 19,200.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.