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Finding the Fourth Proportional to 17,065.74, 25,581.04 and 6,533.28

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Solution

The fourth proportional to 17,065.74, 25,581.04 and 6,533.28 is: 9,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.74 : 25,581.04 = 6,533.28 : x
  2. Step 2: Convert to fraction form
    17,065.74/25,581.04 = 6,533.28/x
  3. Step 3: Cross multiply
    17,065.74x = 25,581.04 × 6,533.28
  4. Step 4: Simplify right side
    17,065.74x = 167,128,097.01
  5. Step 5: Solve for x
    x = 167,128,097.01/17,065.74
  6. Step 6: Final answer
    x = 9,793.19

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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.