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Finding the Fourth Proportional to 13,130.96, 18,123.07 and 7,826.11

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Solution

The fourth proportional to 13,130.96, 18,123.07 and 7,826.11 is: 10,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.96 : 18,123.07 = 7,826.11 : x
  2. Step 2: Convert to fraction form
    13,130.96/18,123.07 = 7,826.11/x
  3. Step 3: Cross multiply
    13,130.96x = 18,123.07 × 7,826.11
  4. Step 4: Simplify right side
    13,130.96x = 141,833,074.48
  5. Step 5: Solve for x
    x = 141,833,074.48/13,130.96
  6. Step 6: Final answer
    x = 10,801.43

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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.