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Finding the Fourth Proportional to 19,828.08, 29,742.72 and 5,037

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Solution

The fourth proportional to 19,828.08, 29,742.72 and 5,037 is: 7,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.08 : 29,742.72 = 5,037 : x
  2. Step 2: Convert to fraction form
    19,828.08/29,742.72 = 5,037/x
  3. Step 3: Cross multiply
    19,828.08x = 29,742.72 × 5,037
  4. Step 4: Simplify right side
    19,828.08x = 149,814,080.64
  5. Step 5: Solve for x
    x = 149,814,080.64/19,828.08
  6. Step 6: Final answer
    x = 7,555.65

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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.