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Finding the Fourth Proportional to 13,052.63, 19,582.19 and 3,818.63

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Solution

The fourth proportional to 13,052.63, 19,582.19 and 3,818.63 is: 5,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.63 : 19,582.19 = 3,818.63 : x
  2. Step 2: Convert to fraction form
    13,052.63/19,582.19 = 3,818.63/x
  3. Step 3: Cross multiply
    13,052.63x = 19,582.19 × 3,818.63
  4. Step 4: Simplify right side
    13,052.63x = 74,777,021.20
  5. Step 5: Solve for x
    x = 74,777,021.20/13,052.63
  6. Step 6: Final answer
    x = 5,728.89

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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.