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Finding the Fourth Proportional to 14,452.41, 21,678.62 and 4,064.16

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Solution

The fourth proportional to 14,452.41, 21,678.62 and 4,064.16 is: 6,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.41 : 21,678.62 = 4,064.16 : x
  2. Step 2: Convert to fraction form
    14,452.41/21,678.62 = 4,064.16/x
  3. Step 3: Cross multiply
    14,452.41x = 21,678.62 × 4,064.16
  4. Step 4: Simplify right side
    14,452.41x = 88,105,278.64
  5. Step 5: Solve for x
    x = 88,105,278.64/14,452.41
  6. Step 6: Final answer
    x = 6,096.24

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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.