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Finding the Fourth Proportional to 11,869.32, 17,820.36 and 6,030

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Solution

The fourth proportional to 11,869.32, 17,820.36 and 6,030 is: 9,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.32 : 17,820.36 = 6,030 : x
  2. Step 2: Convert to fraction form
    11,869.32/17,820.36 = 6,030/x
  3. Step 3: Cross multiply
    11,869.32x = 17,820.36 × 6,030
  4. Step 4: Simplify right side
    11,869.32x = 107,456,770.80
  5. Step 5: Solve for x
    x = 107,456,770.80/11,869.32
  6. Step 6: Final answer
    x = 9,053.32

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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.