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Finding the Fourth Proportional to 14,349, 21,518.04 and 5,582.76

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Solution

The fourth proportional to 14,349, 21,518.04 and 5,582.76 is: 8,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349 : 21,518.04 = 5,582.76 : x
  2. Step 2: Convert to fraction form
    14,349/21,518.04 = 5,582.76/x
  3. Step 3: Cross multiply
    14,349x = 21,518.04 × 5,582.76
  4. Step 4: Simplify right side
    14,349x = 120,130,052.99
  5. Step 5: Solve for x
    x = 120,130,052.99/14,349
  6. Step 6: Final answer
    x = 8,372.02

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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.