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Finding the Fourth Proportional to 14,416.57, 21,578.68 and 10,454.05

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Solution

The fourth proportional to 14,416.57, 21,578.68 and 10,454.05 is: 15,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.57 : 21,578.68 = 10,454.05 : x
  2. Step 2: Convert to fraction form
    14,416.57/21,578.68 = 10,454.05/x
  3. Step 3: Cross multiply
    14,416.57x = 21,578.68 × 10,454.05
  4. Step 4: Simplify right side
    14,416.57x = 225,584,599.65
  5. Step 5: Solve for x
    x = 225,584,599.65/14,416.57
  6. Step 6: Final answer
    x = 15,647.59

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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.