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Finding the Fourth Proportional to 14,830.14, 22,262.51 and 9,834.04

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Solution

The fourth proportional to 14,830.14, 22,262.51 and 9,834.04 is: 14,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.14 : 22,262.51 = 9,834.04 : x
  2. Step 2: Convert to fraction form
    14,830.14/22,262.51 = 9,834.04/x
  3. Step 3: Cross multiply
    14,830.14x = 22,262.51 × 9,834.04
  4. Step 4: Simplify right side
    14,830.14x = 218,930,413.84
  5. Step 5: Solve for x
    x = 218,930,413.84/14,830.14
  6. Step 6: Final answer
    x = 14,762.53

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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.