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Finding the Fourth Proportional to 14,262.18, 21,384.16 and 6,851.90

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Solution

The fourth proportional to 14,262.18, 21,384.16 and 6,851.90 is: 10,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.18 : 21,384.16 = 6,851.90 : x
  2. Step 2: Convert to fraction form
    14,262.18/21,384.16 = 6,851.90/x
  3. Step 3: Cross multiply
    14,262.18x = 21,384.16 × 6,851.90
  4. Step 4: Simplify right side
    14,262.18x = 146,522,001.85
  5. Step 5: Solve for x
    x = 146,522,001.85/14,262.18
  6. Step 6: Final answer
    x = 10,273.46

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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.