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Finding the Fourth Proportional to 23,903.88, 32,986.66 and 13,293.16

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Solution

The fourth proportional to 23,903.88, 32,986.66 and 13,293.16 is: 18,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903.88 : 32,986.66 = 13,293.16 : x
  2. Step 2: Convert to fraction form
    23,903.88/32,986.66 = 13,293.16/x
  3. Step 3: Cross multiply
    23,903.88x = 32,986.66 × 13,293.16
  4. Step 4: Simplify right side
    23,903.88x = 438,496,949.25
  5. Step 5: Solve for x
    x = 438,496,949.25/23,903.88
  6. Step 6: Final answer
    x = 18,344.17

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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.