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Finding the Fourth Proportional to 14,338.53, 19,783.70 and 8,366.79

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Solution

The fourth proportional to 14,338.53, 19,783.70 and 8,366.79 is: 11,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.53 : 19,783.70 = 8,366.79 : x
  2. Step 2: Convert to fraction form
    14,338.53/19,783.70 = 8,366.79/x
  3. Step 3: Cross multiply
    14,338.53x = 19,783.70 × 8,366.79
  4. Step 4: Simplify right side
    14,338.53x = 165,525,985.32
  5. Step 5: Solve for x
    x = 165,525,985.32/14,338.53
  6. Step 6: Final answer
    x = 11,544.14

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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.