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Finding the Fourth Proportional to 13,783.49, 19,019.98 and 9,313.23

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Solution

The fourth proportional to 13,783.49, 19,019.98 and 9,313.23 is: 12,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.49 : 19,019.98 = 9,313.23 : x
  2. Step 2: Convert to fraction form
    13,783.49/19,019.98 = 9,313.23/x
  3. Step 3: Cross multiply
    13,783.49x = 19,019.98 × 9,313.23
  4. Step 4: Simplify right side
    13,783.49x = 177,137,448.34
  5. Step 5: Solve for x
    x = 177,137,448.34/13,783.49
  6. Step 6: Final answer
    x = 12,851.42

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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.