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Finding the Fourth Proportional to 12,840.40, 19,239.90 and 7,277.20

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Solution

The fourth proportional to 12,840.40, 19,239.90 and 7,277.20 is: 10,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.40 : 19,239.90 = 7,277.20 : x
  2. Step 2: Convert to fraction form
    12,840.40/19,239.90 = 7,277.20/x
  3. Step 3: Cross multiply
    12,840.40x = 19,239.90 × 7,277.20
  4. Step 4: Simplify right side
    12,840.40x = 140,012,600.28
  5. Step 5: Solve for x
    x = 140,012,600.28/12,840.40
  6. Step 6: Final answer
    x = 10,904.07

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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.