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Finding the Fourth Proportional to 13,082.19, 18,053.16 and 7,113.81

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Solution

The fourth proportional to 13,082.19, 18,053.16 and 7,113.81 is: 9,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.19 : 18,053.16 = 7,113.81 : x
  2. Step 2: Convert to fraction form
    13,082.19/18,053.16 = 7,113.81/x
  3. Step 3: Cross multiply
    13,082.19x = 18,053.16 × 7,113.81
  4. Step 4: Simplify right side
    13,082.19x = 128,426,750.14
  5. Step 5: Solve for x
    x = 128,426,750.14/13,082.19
  6. Step 6: Final answer
    x = 9,816.92

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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.