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Finding the Fourth Proportional to 17,336.50, 26,009.07 and 5,024.50

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Solution

The fourth proportional to 17,336.50, 26,009.07 and 5,024.50 is: 7,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.50 : 26,009.07 = 5,024.50 : x
  2. Step 2: Convert to fraction form
    17,336.50/26,009.07 = 5,024.50/x
  3. Step 3: Cross multiply
    17,336.50x = 26,009.07 × 5,024.50
  4. Step 4: Simplify right side
    17,336.50x = 130,682,572.22
  5. Step 5: Solve for x
    x = 130,682,572.22/17,336.50
  6. Step 6: Final answer
    x = 7,538.00

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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.