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Finding the Fourth Proportional to 13,082.99, 18,054.68 and 7,114.68

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Solution

The fourth proportional to 13,082.99, 18,054.68 and 7,114.68 is: 9,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.99 : 18,054.68 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    13,082.99/18,054.68 = 7,114.68/x
  3. Step 3: Cross multiply
    13,082.99x = 18,054.68 × 7,114.68
  4. Step 4: Simplify right side
    13,082.99x = 128,453,235.13
  5. Step 5: Solve for x
    x = 128,453,235.13/13,082.99
  6. Step 6: Final answer
    x = 9,818.34

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Why These Related Problems?

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