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Finding the Fourth Proportional to 23,619, 32,594.28 and 13,009.62

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Solution

The fourth proportional to 23,619, 32,594.28 and 13,009.62 is: 17,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619 : 32,594.28 = 13,009.62 : x
  2. Step 2: Convert to fraction form
    23,619/32,594.28 = 13,009.62/x
  3. Step 3: Cross multiply
    23,619x = 32,594.28 × 13,009.62
  4. Step 4: Simplify right side
    23,619x = 424,039,196.97
  5. Step 5: Solve for x
    x = 424,039,196.97/23,619
  6. Step 6: Final answer
    x = 17,953.31

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