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Finding the Fourth Proportional to 14,180.71, 19,572.90 and 8,211.57

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Solution

The fourth proportional to 14,180.71, 19,572.90 and 8,211.57 is: 11,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.71 : 19,572.90 = 8,211.57 : x
  2. Step 2: Convert to fraction form
    14,180.71/19,572.90 = 8,211.57/x
  3. Step 3: Cross multiply
    14,180.71x = 19,572.90 × 8,211.57
  4. Step 4: Simplify right side
    14,180.71x = 160,724,238.45
  5. Step 5: Solve for x
    x = 160,724,238.45/14,180.71
  6. Step 6: Final answer
    x = 11,334.01

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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.