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Finding the Fourth Proportional to 13,980.96, 19,293.12 and 7,693.44

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Solution

The fourth proportional to 13,980.96, 19,293.12 and 7,693.44 is: 10,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.96 : 19,293.12 = 7,693.44 : x
  2. Step 2: Convert to fraction form
    13,980.96/19,293.12 = 7,693.44/x
  3. Step 3: Cross multiply
    13,980.96x = 19,293.12 × 7,693.44
  4. Step 4: Simplify right side
    13,980.96x = 148,430,461.13
  5. Step 5: Solve for x
    x = 148,430,461.13/13,980.96
  6. Step 6: Final answer
    x = 10,616.61

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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.