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Finding the Fourth Proportional to 17,709.52, 26,491.32 and 15,736.40

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Solution

The fourth proportional to 17,709.52, 26,491.32 and 15,736.40 is: 23,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.52 : 26,491.32 = 15,736.40 : x
  2. Step 2: Convert to fraction form
    17,709.52/26,491.32 = 15,736.40/x
  3. Step 3: Cross multiply
    17,709.52x = 26,491.32 × 15,736.40
  4. Step 4: Simplify right side
    17,709.52x = 416,878,008.05
  5. Step 5: Solve for x
    x = 416,878,008.05/17,709.52
  6. Step 6: Final answer
    x = 23,539.77

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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.