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Finding the Fourth Proportional to 17,038.94, 25,559.88 and 5,192.46

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Solution

The fourth proportional to 17,038.94, 25,559.88 and 5,192.46 is: 7,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.94 : 25,559.88 = 5,192.46 : x
  2. Step 2: Convert to fraction form
    17,038.94/25,559.88 = 5,192.46/x
  3. Step 3: Cross multiply
    17,038.94x = 25,559.88 × 5,192.46
  4. Step 4: Simplify right side
    17,038.94x = 132,718,654.50
  5. Step 5: Solve for x
    x = 132,718,654.50/17,038.94
  6. Step 6: Final answer
    x = 7,789.14

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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.