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Finding the Fourth Proportional to 13,533.46, 18,676.11 and 7,565.11

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Solution

The fourth proportional to 13,533.46, 18,676.11 and 7,565.11 is: 10,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.46 : 18,676.11 = 7,565.11 : x
  2. Step 2: Convert to fraction form
    13,533.46/18,676.11 = 7,565.11/x
  3. Step 3: Cross multiply
    13,533.46x = 18,676.11 × 7,565.11
  4. Step 4: Simplify right side
    13,533.46x = 141,286,826.52
  5. Step 5: Solve for x
    x = 141,286,826.52/13,533.46
  6. Step 6: Final answer
    x = 10,439.82

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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.