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Finding the Fourth Proportional to 14,802.84, 22,204.50 and 4,942.16

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Solution

The fourth proportional to 14,802.84, 22,204.50 and 4,942.16 is: 7,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.84 : 22,204.50 = 4,942.16 : x
  2. Step 2: Convert to fraction form
    14,802.84/22,204.50 = 4,942.16/x
  3. Step 3: Cross multiply
    14,802.84x = 22,204.50 × 4,942.16
  4. Step 4: Simplify right side
    14,802.84x = 109,738,191.72
  5. Step 5: Solve for x
    x = 109,738,191.72/14,802.84
  6. Step 6: Final answer
    x = 7,413.32

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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.