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Finding the Fourth Proportional to 13,533.71, 18,676.40 and 7,565.23

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Solution

The fourth proportional to 13,533.71, 18,676.40 and 7,565.23 is: 10,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.71 : 18,676.40 = 7,565.23 : x
  2. Step 2: Convert to fraction form
    13,533.71/18,676.40 = 7,565.23/x
  3. Step 3: Cross multiply
    13,533.71x = 18,676.40 × 7,565.23
  4. Step 4: Simplify right side
    13,533.71x = 141,291,177.05
  5. Step 5: Solve for x
    x = 141,291,177.05/13,533.71
  6. Step 6: Final answer
    x = 10,439.94

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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.