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Finding the Fourth Proportional to 12,783.44, 17,638.45 and 7,477.23

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Solution

The fourth proportional to 12,783.44, 17,638.45 and 7,477.23 is: 10,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.44 : 17,638.45 = 7,477.23 : x
  2. Step 2: Convert to fraction form
    12,783.44/17,638.45 = 7,477.23/x
  3. Step 3: Cross multiply
    12,783.44x = 17,638.45 × 7,477.23
  4. Step 4: Simplify right side
    12,783.44x = 131,886,747.49
  5. Step 5: Solve for x
    x = 131,886,747.49/12,783.44
  6. Step 6: Final answer
    x = 10,317.00

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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.