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Finding the Fourth Proportional to 23,619.37, 32,594.67 and 13,009

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Solution

The fourth proportional to 23,619.37, 32,594.67 and 13,009 is: 17,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.37 : 32,594.67 = 13,009 : x
  2. Step 2: Convert to fraction form
    23,619.37/32,594.67 = 13,009/x
  3. Step 3: Cross multiply
    23,619.37x = 32,594.67 × 13,009
  4. Step 4: Simplify right side
    23,619.37x = 424,024,062.03
  5. Step 5: Solve for x
    x = 424,024,062.03/23,619.37
  6. Step 6: Final answer
    x = 17,952.39

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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.