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Finding the Fourth Proportional to 14,416.25, 21,627.29 and 6,096.24

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Solution

The fourth proportional to 14,416.25, 21,627.29 and 6,096.24 is: 9,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.25 : 21,627.29 = 6,096.24 : x
  2. Step 2: Convert to fraction form
    14,416.25/21,627.29 = 6,096.24/x
  3. Step 3: Cross multiply
    14,416.25x = 21,627.29 × 6,096.24
  4. Step 4: Simplify right side
    14,416.25x = 131,845,165.63
  5. Step 5: Solve for x
    x = 131,845,165.63/14,416.25
  6. Step 6: Final answer
    x = 9,145.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.