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Finding the Fourth Proportional to 14,485.60, 19,986.78 and 9,696.88

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Solution

The fourth proportional to 14,485.60, 19,986.78 and 9,696.88 is: 13,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.60 : 19,986.78 = 9,696.88 : x
  2. Step 2: Convert to fraction form
    14,485.60/19,986.78 = 9,696.88/x
  3. Step 3: Cross multiply
    14,485.60x = 19,986.78 × 9,696.88
  4. Step 4: Simplify right side
    14,485.60x = 193,809,407.25
  5. Step 5: Solve for x
    x = 193,809,407.25/14,485.60
  6. Step 6: Final answer
    x = 13,379.45

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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.