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Finding the Fourth Proportional to 23,693.99, 32,698.25 and 13,083.83

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Solution

The fourth proportional to 23,693.99, 32,698.25 and 13,083.83 is: 18,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.99 : 32,698.25 = 13,083.83 : x
  2. Step 2: Convert to fraction form
    23,693.99/32,698.25 = 13,083.83/x
  3. Step 3: Cross multiply
    23,693.99x = 32,698.25 × 13,083.83
  4. Step 4: Simplify right side
    23,693.99x = 427,818,287.07
  5. Step 5: Solve for x
    x = 427,818,287.07/23,693.99
  6. Step 6: Final answer
    x = 18,055.99

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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.