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Finding the Fourth Proportional to 13,533.66, 18,676.45 and 7,565.20

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Solution

The fourth proportional to 13,533.66, 18,676.45 and 7,565.20 is: 10,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.66 : 18,676.45 = 7,565.20 : x
  2. Step 2: Convert to fraction form
    13,533.66/18,676.45 = 7,565.20/x
  3. Step 3: Cross multiply
    13,533.66x = 18,676.45 × 7,565.20
  4. Step 4: Simplify right side
    13,533.66x = 141,291,013.94
  5. Step 5: Solve for x
    x = 141,291,013.94/13,533.66
  6. Step 6: Final answer
    x = 10,439.97

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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.