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Finding the Fourth Proportional to 13,784.60, 20,669.34 and 6,384.98

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Solution

The fourth proportional to 13,784.60, 20,669.34 and 6,384.98 is: 9,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.60 : 20,669.34 = 6,384.98 : x
  2. Step 2: Convert to fraction form
    13,784.60/20,669.34 = 6,384.98/x
  3. Step 3: Cross multiply
    13,784.60x = 20,669.34 × 6,384.98
  4. Step 4: Simplify right side
    13,784.60x = 131,973,322.51
  5. Step 5: Solve for x
    x = 131,973,322.51/13,784.60
  6. Step 6: Final answer
    x = 9,573.97

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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.