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Finding the Fourth Proportional to 12,948.60, 19,413.30 and 5,153.40

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Solution

The fourth proportional to 12,948.60, 19,413.30 and 5,153.40 is: 7,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.60 : 19,413.30 = 5,153.40 : x
  2. Step 2: Convert to fraction form
    12,948.60/19,413.30 = 5,153.40/x
  3. Step 3: Cross multiply
    12,948.60x = 19,413.30 × 5,153.40
  4. Step 4: Simplify right side
    12,948.60x = 100,044,500.22
  5. Step 5: Solve for x
    x = 100,044,500.22/12,948.60
  6. Step 6: Final answer
    x = 7,726.28

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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.