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Finding the Fourth Proportional to 13,135.99, 18,134.36 and 10,145.11

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Solution

The fourth proportional to 13,135.99, 18,134.36 and 10,145.11 is: 14,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.99 : 18,134.36 = 10,145.11 : x
  2. Step 2: Convert to fraction form
    13,135.99/18,134.36 = 10,145.11/x
  3. Step 3: Cross multiply
    13,135.99x = 18,134.36 × 10,145.11
  4. Step 4: Simplify right side
    13,135.99x = 183,975,026.25
  5. Step 5: Solve for x
    x = 183,975,026.25/13,135.99
  6. Step 6: Final answer
    x = 14,005.42

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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.