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Finding the Fourth Proportional to 13,989.18, 19,302.81 and 8,019.75

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Solution

The fourth proportional to 13,989.18, 19,302.81 and 8,019.75 is: 11,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.18 : 19,302.81 = 8,019.75 : x
  2. Step 2: Convert to fraction form
    13,989.18/19,302.81 = 8,019.75/x
  3. Step 3: Cross multiply
    13,989.18x = 19,302.81 × 8,019.75
  4. Step 4: Simplify right side
    13,989.18x = 154,803,710.50
  5. Step 5: Solve for x
    x = 154,803,710.50/13,989.18
  6. Step 6: Final answer
    x = 11,065.96

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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.