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Finding the Fourth Proportional to 14,182.18, 19,569.27 and 8,214.43

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Solution

The fourth proportional to 14,182.18, 19,569.27 and 8,214.43 is: 11,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.18 : 19,569.27 = 8,214.43 : x
  2. Step 2: Convert to fraction form
    14,182.18/19,569.27 = 8,214.43/x
  3. Step 3: Cross multiply
    14,182.18x = 19,569.27 × 8,214.43
  4. Step 4: Simplify right side
    14,182.18x = 160,750,398.57
  5. Step 5: Solve for x
    x = 160,750,398.57/14,182.18
  6. Step 6: Final answer
    x = 11,334.67

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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.