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Finding the Fourth Proportional to 14,358.66, 21,529.68 and 5,583.30

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Solution

The fourth proportional to 14,358.66, 21,529.68 and 5,583.30 is: 8,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.66 : 21,529.68 = 5,583.30 : x
  2. Step 2: Convert to fraction form
    14,358.66/21,529.68 = 5,583.30/x
  3. Step 3: Cross multiply
    14,358.66x = 21,529.68 × 5,583.30
  4. Step 4: Simplify right side
    14,358.66x = 120,206,662.34
  5. Step 5: Solve for x
    x = 120,206,662.34/14,358.66
  6. Step 6: Final answer
    x = 8,371.72

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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.