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Finding the Fourth Proportional to 23,643.82, 32,628.36 and 13,033.23

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Solution

The fourth proportional to 23,643.82, 32,628.36 and 13,033.23 is: 17,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.82 : 32,628.36 = 13,033.23 : x
  2. Step 2: Convert to fraction form
    23,643.82/32,628.36 = 13,033.23/x
  3. Step 3: Cross multiply
    23,643.82x = 32,628.36 × 13,033.23
  4. Step 4: Simplify right side
    23,643.82x = 425,252,920.40
  5. Step 5: Solve for x
    x = 425,252,920.40/23,643.82
  6. Step 6: Final answer
    x = 17,985.80

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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.