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Finding the Fourth Proportional to 13,898.99, 19,182.47 and 8,233.30

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Solution

The fourth proportional to 13,898.99, 19,182.47 and 8,233.30 is: 11,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.99 : 19,182.47 = 8,233.30 : x
  2. Step 2: Convert to fraction form
    13,898.99/19,182.47 = 8,233.30/x
  3. Step 3: Cross multiply
    13,898.99x = 19,182.47 × 8,233.30
  4. Step 4: Simplify right side
    13,898.99x = 157,935,030.25
  5. Step 5: Solve for x
    x = 157,935,030.25/13,898.99
  6. Step 6: Final answer
    x = 11,363.06

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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.