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Finding the Fourth Proportional to 13,582.68, 20,350.02 and 11,898

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Solution

The fourth proportional to 13,582.68, 20,350.02 and 11,898 is: 17,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.68 : 20,350.02 = 11,898 : x
  2. Step 2: Convert to fraction form
    13,582.68/20,350.02 = 11,898/x
  3. Step 3: Cross multiply
    13,582.68x = 20,350.02 × 11,898
  4. Step 4: Simplify right side
    13,582.68x = 242,124,537.96
  5. Step 5: Solve for x
    x = 242,124,537.96/13,582.68
  6. Step 6: Final answer
    x = 17,825.98

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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.