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Finding the Fourth Proportional to 23,619.75, 32,594.76 and 13,009.47

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Solution

The fourth proportional to 23,619.75, 32,594.76 and 13,009.47 is: 17,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.75 : 32,594.76 = 13,009.47 : x
  2. Step 2: Convert to fraction form
    23,619.75/32,594.76 = 13,009.47/x
  3. Step 3: Cross multiply
    23,619.75x = 32,594.76 × 13,009.47
  4. Step 4: Simplify right side
    23,619.75x = 424,040,552.38
  5. Step 5: Solve for x
    x = 424,040,552.38/23,619.75
  6. Step 6: Final answer
    x = 17,952.80

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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.