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Finding the Fourth Proportional to 23,453.98, 32,333.14 and 14,496.42

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Solution

The fourth proportional to 23,453.98, 32,333.14 and 14,496.42 is: 19,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.98 : 32,333.14 = 14,496.42 : x
  2. Step 2: Convert to fraction form
    23,453.98/32,333.14 = 14,496.42/x
  3. Step 3: Cross multiply
    23,453.98x = 32,333.14 × 14,496.42
  4. Step 4: Simplify right side
    23,453.98x = 468,714,777.36
  5. Step 5: Solve for x
    x = 468,714,777.36/23,453.98
  6. Step 6: Final answer
    x = 19,984.45

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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.