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Finding the Fourth Proportional to 14,444.69, 19,933.70 and 8,071.30

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Solution

The fourth proportional to 14,444.69, 19,933.70 and 8,071.30 is: 11,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.69 : 19,933.70 = 8,071.30 : x
  2. Step 2: Convert to fraction form
    14,444.69/19,933.70 = 8,071.30/x
  3. Step 3: Cross multiply
    14,444.69x = 19,933.70 × 8,071.30
  4. Step 4: Simplify right side
    14,444.69x = 160,890,872.81
  5. Step 5: Solve for x
    x = 160,890,872.81/14,444.69
  6. Step 6: Final answer
    x = 11,138.41

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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.