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Finding the Fourth Proportional to 23,771.93, 32,802.99 and 14,209.93

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Solution

The fourth proportional to 23,771.93, 32,802.99 and 14,209.93 is: 19,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.93 : 32,802.99 = 14,209.93 : x
  2. Step 2: Convert to fraction form
    23,771.93/32,802.99 = 14,209.93/x
  3. Step 3: Cross multiply
    23,771.93x = 32,802.99 × 14,209.93
  4. Step 4: Simplify right side
    23,771.93x = 466,128,109.68
  5. Step 5: Solve for x
    x = 466,128,109.68/23,771.93
  6. Step 6: Final answer
    x = 19,608.34

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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.