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Finding the Fourth Proportional to 23,285, 32,132.98 and 13,853.32

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Solution

The fourth proportional to 23,285, 32,132.98 and 13,853.32 is: 19,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285 : 32,132.98 = 13,853.32 : x
  2. Step 2: Convert to fraction form
    23,285/32,132.98 = 13,853.32/x
  3. Step 3: Cross multiply
    23,285x = 32,132.98 × 13,853.32
  4. Step 4: Simplify right side
    23,285x = 445,148,454.49
  5. Step 5: Solve for x
    x = 445,148,454.49/23,285
  6. Step 6: Final answer
    x = 19,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.