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Finding the Fourth Proportional to 13,114.64, 19,680 and 5,323.52

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Solution

The fourth proportional to 13,114.64, 19,680 and 5,323.52 is: 7,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.64 : 19,680 = 5,323.52 : x
  2. Step 2: Convert to fraction form
    13,114.64/19,680 = 5,323.52/x
  3. Step 3: Cross multiply
    13,114.64x = 19,680 × 5,323.52
  4. Step 4: Simplify right side
    13,114.64x = 104,766,873.60
  5. Step 5: Solve for x
    x = 104,766,873.60/13,114.64
  6. Step 6: Final answer
    x = 7,988.54

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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.