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Finding the Fourth Proportional to 24,728.36, 37,081.02 and 14,343.08

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Solution

The fourth proportional to 24,728.36, 37,081.02 and 14,343.08 is: 21,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.36 : 37,081.02 = 14,343.08 : x
  2. Step 2: Convert to fraction form
    24,728.36/37,081.02 = 14,343.08/x
  3. Step 3: Cross multiply
    24,728.36x = 37,081.02 × 14,343.08
  4. Step 4: Simplify right side
    24,728.36x = 531,856,036.34
  5. Step 5: Solve for x
    x = 531,856,036.34/24,728.36
  6. Step 6: Final answer
    x = 21,507.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.