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Finding the Fourth Proportional to 12,034.51, 18,051.84 and 7,878.01

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Solution

The fourth proportional to 12,034.51, 18,051.84 and 7,878.01 is: 11,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.51 : 18,051.84 = 7,878.01 : x
  2. Step 2: Convert to fraction form
    12,034.51/18,051.84 = 7,878.01/x
  3. Step 3: Cross multiply
    12,034.51x = 18,051.84 × 7,878.01
  4. Step 4: Simplify right side
    12,034.51x = 142,212,576.04
  5. Step 5: Solve for x
    x = 142,212,576.04/12,034.51
  6. Step 6: Final answer
    x = 11,817.06

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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.