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Finding the Fourth Proportional to 12,980.55, 19,478.19 and 5,083.68

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Solution

The fourth proportional to 12,980.55, 19,478.19 and 5,083.68 is: 7,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.55 : 19,478.19 = 5,083.68 : x
  2. Step 2: Convert to fraction form
    12,980.55/19,478.19 = 5,083.68/x
  3. Step 3: Cross multiply
    12,980.55x = 19,478.19 × 5,083.68
  4. Step 4: Simplify right side
    12,980.55x = 99,020,884.94
  5. Step 5: Solve for x
    x = 99,020,884.94/12,980.55
  6. Step 6: Final answer
    x = 7,628.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.