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Finding the Fourth Proportional to 23,881.94, 32,948.69 and 14,324.93

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Solution

The fourth proportional to 23,881.94, 32,948.69 and 14,324.93 is: 19,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.94 : 32,948.69 = 14,324.93 : x
  2. Step 2: Convert to fraction form
    23,881.94/32,948.69 = 14,324.93/x
  3. Step 3: Cross multiply
    23,881.94x = 32,948.69 × 14,324.93
  4. Step 4: Simplify right side
    23,881.94x = 471,987,441.47
  5. Step 5: Solve for x
    x = 471,987,441.47/23,881.94
  6. Step 6: Final answer
    x = 19,763.36

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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.