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Finding the Fourth Proportional to 13,108.36, 19,666.32 and 7,565.64

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Solution

The fourth proportional to 13,108.36, 19,666.32 and 7,565.64 is: 11,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.36 : 19,666.32 = 7,565.64 : x
  2. Step 2: Convert to fraction form
    13,108.36/19,666.32 = 7,565.64/x
  3. Step 3: Cross multiply
    13,108.36x = 19,666.32 × 7,565.64
  4. Step 4: Simplify right side
    13,108.36x = 148,788,297.24
  5. Step 5: Solve for x
    x = 148,788,297.24/13,108.36
  6. Step 6: Final answer
    x = 11,350.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.