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Finding the Fourth Proportional to 13,533.80, 18,676.67 and 7,565.47

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Solution

The fourth proportional to 13,533.80, 18,676.67 and 7,565.47 is: 10,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.80 : 18,676.67 = 7,565.47 : x
  2. Step 2: Convert to fraction form
    13,533.80/18,676.67 = 7,565.47/x
  3. Step 3: Cross multiply
    13,533.80x = 18,676.67 × 7,565.47
  4. Step 4: Simplify right side
    13,533.80x = 141,297,702.07
  5. Step 5: Solve for x
    x = 141,297,702.07/13,533.80
  6. Step 6: Final answer
    x = 10,440.35

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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.