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Finding the Fourth Proportional to 14,977.46, 22,463.91 and 9,413.82

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Solution

The fourth proportional to 14,977.46, 22,463.91 and 9,413.82 is: 14,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.46 : 22,463.91 = 9,413.82 : x
  2. Step 2: Convert to fraction form
    14,977.46/22,463.91 = 9,413.82/x
  3. Step 3: Cross multiply
    14,977.46x = 22,463.91 × 9,413.82
  4. Step 4: Simplify right side
    14,977.46x = 211,471,178.76
  5. Step 5: Solve for x
    x = 211,471,178.76/14,977.46
  6. Step 6: Final answer
    x = 14,119.30

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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.