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Finding the Fourth Proportional to 14,476.32, 19,976.22 and 8,189.10

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Solution

The fourth proportional to 14,476.32, 19,976.22 and 8,189.10 is: 11,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.32 : 19,976.22 = 8,189.10 : x
  2. Step 2: Convert to fraction form
    14,476.32/19,976.22 = 8,189.10/x
  3. Step 3: Cross multiply
    14,476.32x = 19,976.22 × 8,189.10
  4. Step 4: Simplify right side
    14,476.32x = 163,587,263.20
  5. Step 5: Solve for x
    x = 163,587,263.20/14,476.32
  6. Step 6: Final answer
    x = 11,300.33

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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.