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Finding the Fourth Proportional to 14,345.50, 21,515.82 and 3,815.68

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Solution

The fourth proportional to 14,345.50, 21,515.82 and 3,815.68 is: 5,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.50 : 21,515.82 = 3,815.68 : x
  2. Step 2: Convert to fraction form
    14,345.50/21,515.82 = 3,815.68/x
  3. Step 3: Cross multiply
    14,345.50x = 21,515.82 × 3,815.68
  4. Step 4: Simplify right side
    14,345.50x = 82,097,484.06
  5. Step 5: Solve for x
    x = 82,097,484.06/14,345.50
  6. Step 6: Final answer
    x = 5,722.87

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Why These Related Problems?

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