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Finding the Fourth Proportional to 23,898.82, 32,970.90 and 13,825.39

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Solution

The fourth proportional to 23,898.82, 32,970.90 and 13,825.39 is: 19,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.82 : 32,970.90 = 13,825.39 : x
  2. Step 2: Convert to fraction form
    23,898.82/32,970.90 = 13,825.39/x
  3. Step 3: Cross multiply
    23,898.82x = 32,970.90 × 13,825.39
  4. Step 4: Simplify right side
    23,898.82x = 455,835,551.15
  5. Step 5: Solve for x
    x = 455,835,551.15/23,898.82
  6. Step 6: Final answer
    x = 19,073.56

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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.