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Finding the Fourth Proportional to 14,117.68, 19,481.52 and 7,829.92

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Solution

The fourth proportional to 14,117.68, 19,481.52 and 7,829.92 is: 10,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.68 : 19,481.52 = 7,829.92 : x
  2. Step 2: Convert to fraction form
    14,117.68/19,481.52 = 7,829.92/x
  3. Step 3: Cross multiply
    14,117.68x = 19,481.52 × 7,829.92
  4. Step 4: Simplify right side
    14,117.68x = 152,538,743.08
  5. Step 5: Solve for x
    x = 152,538,743.08/14,117.68
  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.