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Finding the Fourth Proportional to 12,832.94, 19,244.54 and 5,037.50

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Solution

The fourth proportional to 12,832.94, 19,244.54 and 5,037.50 is: 7,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.94 : 19,244.54 = 5,037.50 : x
  2. Step 2: Convert to fraction form
    12,832.94/19,244.54 = 5,037.50/x
  3. Step 3: Cross multiply
    12,832.94x = 19,244.54 × 5,037.50
  4. Step 4: Simplify right side
    12,832.94x = 96,944,370.25
  5. Step 5: Solve for x
    x = 96,944,370.25/12,832.94
  6. Step 6: Final answer
    x = 7,554.34

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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.