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Finding the Fourth Proportional to 17,333.06, 26,001.75 and 5,643.14

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Solution

The fourth proportional to 17,333.06, 26,001.75 and 5,643.14 is: 8,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333.06 : 26,001.75 = 5,643.14 : x
  2. Step 2: Convert to fraction form
    17,333.06/26,001.75 = 5,643.14/x
  3. Step 3: Cross multiply
    17,333.06x = 26,001.75 × 5,643.14
  4. Step 4: Simplify right side
    17,333.06x = 146,731,515.50
  5. Step 5: Solve for x
    x = 146,731,515.50/17,333.06
  6. Step 6: Final answer
    x = 8,465.41

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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.