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Finding the Fourth Proportional to 14,451.30, 19,941.78 and 8,162.46

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Solution

The fourth proportional to 14,451.30, 19,941.78 and 8,162.46 is: 11,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.30 : 19,941.78 = 8,162.46 : x
  2. Step 2: Convert to fraction form
    14,451.30/19,941.78 = 8,162.46/x
  3. Step 3: Cross multiply
    14,451.30x = 19,941.78 × 8,162.46
  4. Step 4: Simplify right side
    14,451.30x = 162,773,981.58
  5. Step 5: Solve for x
    x = 162,773,981.58/14,451.30
  6. Step 6: Final answer
    x = 11,263.62

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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.