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Finding the Fourth Proportional to 42,413.30, 63,627.15 and 12,830.90

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Solution

The fourth proportional to 42,413.30, 63,627.15 and 12,830.90 is: 19,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,413.30 : 63,627.15 = 12,830.90 : x
  2. Step 2: Convert to fraction form
    42,413.30/63,627.15 = 12,830.90/x
  3. Step 3: Cross multiply
    42,413.30x = 63,627.15 × 12,830.90
  4. Step 4: Simplify right side
    42,413.30x = 816,393,598.94
  5. Step 5: Solve for x
    x = 816,393,598.94/42,413.30
  6. Step 6: Final answer
    x = 19,248.53

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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.