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Finding the Fourth Proportional to 14,095.20, 21,142.80 and 12,424.80

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Solution

The fourth proportional to 14,095.20, 21,142.80 and 12,424.80 is: 18,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.20 : 21,142.80 = 12,424.80 : x
  2. Step 2: Convert to fraction form
    14,095.20/21,142.80 = 12,424.80/x
  3. Step 3: Cross multiply
    14,095.20x = 21,142.80 × 12,424.80
  4. Step 4: Simplify right side
    14,095.20x = 262,695,061.44
  5. Step 5: Solve for x
    x = 262,695,061.44/14,095.20
  6. Step 6: Final answer
    x = 18,637.20

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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.