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Finding the Fourth Proportional to 14,073.16, 19,421.22 and 7,786.12

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Solution

The fourth proportional to 14,073.16, 19,421.22 and 7,786.12 is: 10,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.16 : 19,421.22 = 7,786.12 : x
  2. Step 2: Convert to fraction form
    14,073.16/19,421.22 = 7,786.12/x
  3. Step 3: Cross multiply
    14,073.16x = 19,421.22 × 7,786.12
  4. Step 4: Simplify right side
    14,073.16x = 151,215,949.47
  5. Step 5: Solve for x
    x = 151,215,949.47/14,073.16
  6. Step 6: Final answer
    x = 10,744.99

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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.