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Finding the Fourth Proportional to 13,776.45, 19,014.50 and 8,400.69

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Solution

The fourth proportional to 13,776.45, 19,014.50 and 8,400.69 is: 11,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.45 : 19,014.50 = 8,400.69 : x
  2. Step 2: Convert to fraction form
    13,776.45/19,014.50 = 8,400.69/x
  3. Step 3: Cross multiply
    13,776.45x = 19,014.50 × 8,400.69
  4. Step 4: Simplify right side
    13,776.45x = 159,734,840.27
  5. Step 5: Solve for x
    x = 159,734,840.27/13,776.45
  6. Step 6: Final answer
    x = 11,594.77

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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.