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Finding the Fourth Proportional to 14,151.40, 19,529.34 and 8,182.54

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Solution

The fourth proportional to 14,151.40, 19,529.34 and 8,182.54 is: 11,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.40 : 19,529.34 = 8,182.54 : x
  2. Step 2: Convert to fraction form
    14,151.40/19,529.34 = 8,182.54/x
  3. Step 3: Cross multiply
    14,151.40x = 19,529.34 × 8,182.54
  4. Step 4: Simplify right side
    14,151.40x = 159,799,605.72
  5. Step 5: Solve for x
    x = 159,799,605.72/14,151.40
  6. Step 6: Final answer
    x = 11,292.14

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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.