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Finding the Fourth Proportional to 13,088.21, 18,066.36 and 7,782.99

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Solution

The fourth proportional to 13,088.21, 18,066.36 and 7,782.99 is: 10,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.21 : 18,066.36 = 7,782.99 : x
  2. Step 2: Convert to fraction form
    13,088.21/18,066.36 = 7,782.99/x
  3. Step 3: Cross multiply
    13,088.21x = 18,066.36 × 7,782.99
  4. Step 4: Simplify right side
    13,088.21x = 140,610,299.22
  5. Step 5: Solve for x
    x = 140,610,299.22/13,088.21
  6. Step 6: Final answer
    x = 10,743.28

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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.