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Finding the Fourth Proportional to 23,404.44, 32,295.06 and 13,971

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Solution

The fourth proportional to 23,404.44, 32,295.06 and 13,971 is: 19,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.44 : 32,295.06 = 13,971 : x
  2. Step 2: Convert to fraction form
    23,404.44/32,295.06 = 13,971/x
  3. Step 3: Cross multiply
    23,404.44x = 32,295.06 × 13,971
  4. Step 4: Simplify right side
    23,404.44x = 451,194,283.26
  5. Step 5: Solve for x
    x = 451,194,283.26/23,404.44
  6. Step 6: Final answer
    x = 19,278.15

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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.