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Finding the Fourth Proportional to 18,034, 27,051.09 and 4,886.48

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Solution

The fourth proportional to 18,034, 27,051.09 and 4,886.48 is: 7,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034 : 27,051.09 = 4,886.48 : x
  2. Step 2: Convert to fraction form
    18,034/27,051.09 = 4,886.48/x
  3. Step 3: Cross multiply
    18,034x = 27,051.09 × 4,886.48
  4. Step 4: Simplify right side
    18,034x = 132,184,610.26
  5. Step 5: Solve for x
    x = 132,184,610.26/18,034
  6. Step 6: Final answer
    x = 7,329.74

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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.