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Finding the Fourth Proportional to 14,802.64, 22,203.72 and 4,942.60

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Solution

The fourth proportional to 14,802.64, 22,203.72 and 4,942.60 is: 7,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.64 : 22,203.72 = 4,942.60 : x
  2. Step 2: Convert to fraction form
    14,802.64/22,203.72 = 4,942.60/x
  3. Step 3: Cross multiply
    14,802.64x = 22,203.72 × 4,942.60
  4. Step 4: Simplify right side
    14,802.64x = 109,744,106.47
  5. Step 5: Solve for x
    x = 109,744,106.47/14,802.64
  6. Step 6: Final answer
    x = 7,413.82

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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.