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Finding the Fourth Proportional to 24,371.36, 36,558.48 and 7,731.08

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Solution

The fourth proportional to 24,371.36, 36,558.48 and 7,731.08 is: 11,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.36 : 36,558.48 = 7,731.08 : x
  2. Step 2: Convert to fraction form
    24,371.36/36,558.48 = 7,731.08/x
  3. Step 3: Cross multiply
    24,371.36x = 36,558.48 × 7,731.08
  4. Step 4: Simplify right side
    24,371.36x = 282,636,533.56
  5. Step 5: Solve for x
    x = 282,636,533.56/24,371.36
  6. Step 6: Final answer
    x = 11,597.08

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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.