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Finding the Fourth Proportional to 14,192.24, 21,297.72 and 4,958

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Solution

The fourth proportional to 14,192.24, 21,297.72 and 4,958 is: 7,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.24 : 21,297.72 = 4,958 : x
  2. Step 2: Convert to fraction form
    14,192.24/21,297.72 = 4,958/x
  3. Step 3: Cross multiply
    14,192.24x = 21,297.72 × 4,958
  4. Step 4: Simplify right side
    14,192.24x = 105,594,095.76
  5. Step 5: Solve for x
    x = 105,594,095.76/14,192.24
  6. Step 6: Final answer
    x = 7,440.27

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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.