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Finding the Fourth Proportional to 13,988.30, 19,303.92 and 8,021.43

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Solution

The fourth proportional to 13,988.30, 19,303.92 and 8,021.43 is: 11,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.30 : 19,303.92 = 8,021.43 : x
  2. Step 2: Convert to fraction form
    13,988.30/19,303.92 = 8,021.43/x
  3. Step 3: Cross multiply
    13,988.30x = 19,303.92 × 8,021.43
  4. Step 4: Simplify right side
    13,988.30x = 154,845,043.01
  5. Step 5: Solve for x
    x = 154,845,043.01/13,988.30
  6. Step 6: Final answer
    x = 11,069.62

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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.