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Finding the Fourth Proportional to 14,214.83, 19,615.58 and 7,841.50

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Solution

The fourth proportional to 14,214.83, 19,615.58 and 7,841.50 is: 10,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.83 : 19,615.58 = 7,841.50 : x
  2. Step 2: Convert to fraction form
    14,214.83/19,615.58 = 7,841.50/x
  3. Step 3: Cross multiply
    14,214.83x = 19,615.58 × 7,841.50
  4. Step 4: Simplify right side
    14,214.83x = 153,815,511.73
  5. Step 5: Solve for x
    x = 153,815,511.73/14,214.83
  6. Step 6: Final answer
    x = 10,820.78

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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.