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Finding the Fourth Proportional to 14,308.68, 19,745.64 and 8,022.36

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Solution

The fourth proportional to 14,308.68, 19,745.64 and 8,022.36 is: 11,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.68 : 19,745.64 = 8,022.36 : x
  2. Step 2: Convert to fraction form
    14,308.68/19,745.64 = 8,022.36/x
  3. Step 3: Cross multiply
    14,308.68x = 19,745.64 × 8,022.36
  4. Step 4: Simplify right side
    14,308.68x = 158,406,632.51
  5. Step 5: Solve for x
    x = 158,406,632.51/14,308.68
  6. Step 6: Final answer
    x = 11,070.67

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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.