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Finding the Fourth Proportional to 14,978.06, 22,369.80 and 14,083.82

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Solution

The fourth proportional to 14,978.06, 22,369.80 and 14,083.82 is: 21,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.06 : 22,369.80 = 14,083.82 : x
  2. Step 2: Convert to fraction form
    14,978.06/22,369.80 = 14,083.82/x
  3. Step 3: Cross multiply
    14,978.06x = 22,369.80 × 14,083.82
  4. Step 4: Simplify right side
    14,978.06x = 315,052,236.64
  5. Step 5: Solve for x
    x = 315,052,236.64/14,978.06
  6. Step 6: Final answer
    x = 21,034.25

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Why These Related Problems?

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