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Finding the Fourth Proportional to 12,783.63, 19,174.67 and 4,776.87

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Solution

The fourth proportional to 12,783.63, 19,174.67 and 4,776.87 is: 7,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.63 : 19,174.67 = 4,776.87 : x
  2. Step 2: Convert to fraction form
    12,783.63/19,174.67 = 4,776.87/x
  3. Step 3: Cross multiply
    12,783.63x = 19,174.67 × 4,776.87
  4. Step 4: Simplify right side
    12,783.63x = 91,594,905.88
  5. Step 5: Solve for x
    x = 91,594,905.88/12,783.63
  6. Step 6: Final answer
    x = 7,165.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.