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Finding the Fourth Proportional to 14,117.59, 19,481.61 and 7,829.83

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Solution

The fourth proportional to 14,117.59, 19,481.61 and 7,829.83 is: 10,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.59 : 19,481.61 = 7,829.83 : x
  2. Step 2: Convert to fraction form
    14,117.59/19,481.61 = 7,829.83/x
  3. Step 3: Cross multiply
    14,117.59x = 19,481.61 × 7,829.83
  4. Step 4: Simplify right side
    14,117.59x = 152,537,694.43
  5. Step 5: Solve for x
    x = 152,537,694.43/14,117.59
  6. Step 6: Final answer
    x = 10,804.80

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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.