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Finding the Fourth Proportional to 17,053.16, 25,582.86 and 5,809.46

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Solution

The fourth proportional to 17,053.16, 25,582.86 and 5,809.46 is: 8,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.16 : 25,582.86 = 5,809.46 : x
  2. Step 2: Convert to fraction form
    17,053.16/25,582.86 = 5,809.46/x
  3. Step 3: Cross multiply
    17,053.16x = 25,582.86 × 5,809.46
  4. Step 4: Simplify right side
    17,053.16x = 148,622,473.94
  5. Step 5: Solve for x
    x = 148,622,473.94/17,053.16
  6. Step 6: Final answer
    x = 8,715.25

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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.