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Finding the Fourth Proportional to 13,135.47, 18,126.95 and 8,419.76

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Solution

The fourth proportional to 13,135.47, 18,126.95 and 8,419.76 is: 11,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.47 : 18,126.95 = 8,419.76 : x
  2. Step 2: Convert to fraction form
    13,135.47/18,126.95 = 8,419.76/x
  3. Step 3: Cross multiply
    13,135.47x = 18,126.95 × 8,419.76
  4. Step 4: Simplify right side
    13,135.47x = 152,624,613.85
  5. Step 5: Solve for x
    x = 152,624,613.85/13,135.47
  6. Step 6: Final answer
    x = 11,619.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.