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Finding the Fourth Proportional to 14,270.74, 19,693.59 and 7,983.11

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Solution

The fourth proportional to 14,270.74, 19,693.59 and 7,983.11 is: 11,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.74 : 19,693.59 = 7,983.11 : x
  2. Step 2: Convert to fraction form
    14,270.74/19,693.59 = 7,983.11/x
  3. Step 3: Cross multiply
    14,270.74x = 19,693.59 × 7,983.11
  4. Step 4: Simplify right side
    14,270.74x = 157,216,144.50
  5. Step 5: Solve for x
    x = 157,216,144.50/14,270.74
  6. Step 6: Final answer
    x = 11,016.68

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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.