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Finding the Fourth Proportional to 17,359.31, 26,040.19 and 6,971.06

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Solution

The fourth proportional to 17,359.31, 26,040.19 and 6,971.06 is: 10,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,359.31 : 26,040.19 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    17,359.31/26,040.19 = 6,971.06/x
  3. Step 3: Cross multiply
    17,359.31x = 26,040.19 × 6,971.06
  4. Step 4: Simplify right side
    17,359.31x = 181,527,774.57
  5. Step 5: Solve for x
    x = 181,527,774.57/17,359.31
  6. Step 6: Final answer
    x = 10,457.08

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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.