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Finding the Fourth Proportional to 12,051.18, 18,063 and 4,651.83

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Solution

The fourth proportional to 12,051.18, 18,063 and 4,651.83 is: 6,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.18 : 18,063 = 4,651.83 : x
  2. Step 2: Convert to fraction form
    12,051.18/18,063 = 4,651.83/x
  3. Step 3: Cross multiply
    12,051.18x = 18,063 × 4,651.83
  4. Step 4: Simplify right side
    12,051.18x = 84,026,005.29
  5. Step 5: Solve for x
    x = 84,026,005.29/12,051.18
  6. Step 6: Final answer
    x = 6,972.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.