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Finding the Fourth Proportional to 19,888, 29,832.18 and 6,037

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Solution

The fourth proportional to 19,888, 29,832.18 and 6,037 is: 9,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888 : 29,832.18 = 6,037 : x
  2. Step 2: Convert to fraction form
    19,888/29,832.18 = 6,037/x
  3. Step 3: Cross multiply
    19,888x = 29,832.18 × 6,037
  4. Step 4: Simplify right side
    19,888x = 180,096,870.66
  5. Step 5: Solve for x
    x = 180,096,870.66/19,888
  6. Step 6: Final answer
    x = 9,055.55

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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.