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Finding the Fourth Proportional to 12,722.96, 19,089.30 and 6,148.64

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Solution

The fourth proportional to 12,722.96, 19,089.30 and 6,148.64 is: 9,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.96 : 19,089.30 = 6,148.64 : x
  2. Step 2: Convert to fraction form
    12,722.96/19,089.30 = 6,148.64/x
  3. Step 3: Cross multiply
    12,722.96x = 19,089.30 × 6,148.64
  4. Step 4: Simplify right side
    12,722.96x = 117,373,233.55
  5. Step 5: Solve for x
    x = 117,373,233.55/12,722.96
  6. Step 6: Final answer
    x = 9,225.31

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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.