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Finding the Fourth Proportional to 12,427.40, 18,616.80 and 7,482.35

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Solution

The fourth proportional to 12,427.40, 18,616.80 and 7,482.35 is: 11,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.40 : 18,616.80 = 7,482.35 : x
  2. Step 2: Convert to fraction form
    12,427.40/18,616.80 = 7,482.35/x
  3. Step 3: Cross multiply
    12,427.40x = 18,616.80 × 7,482.35
  4. Step 4: Simplify right side
    12,427.40x = 139,297,413.48
  5. Step 5: Solve for x
    x = 139,297,413.48/12,427.40
  6. Step 6: Final answer
    x = 11,208.89

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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.