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Finding the Fourth Proportional to 26,413.80, 36,449.70 and 14,475

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Solution

The fourth proportional to 26,413.80, 36,449.70 and 14,475 is: 19,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.80 : 36,449.70 = 14,475 : x
  2. Step 2: Convert to fraction form
    26,413.80/36,449.70 = 14,475/x
  3. Step 3: Cross multiply
    26,413.80x = 36,449.70 × 14,475
  4. Step 4: Simplify right side
    26,413.80x = 527,609,407.50
  5. Step 5: Solve for x
    x = 527,609,407.50/26,413.80
  6. Step 6: Final answer
    x = 19,974.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.