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Finding the Fourth Proportional to 17,106, 25,661.88 and 6,575.76

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Solution

The fourth proportional to 17,106, 25,661.88 and 6,575.76 is: 9,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106 : 25,661.88 = 6,575.76 : x
  2. Step 2: Convert to fraction form
    17,106/25,661.88 = 6,575.76/x
  3. Step 3: Cross multiply
    17,106x = 25,661.88 × 6,575.76
  4. Step 4: Simplify right side
    17,106x = 168,746,364.03
  5. Step 5: Solve for x
    x = 168,746,364.03/17,106
  6. Step 6: Final answer
    x = 9,864.75

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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.