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Finding the Fourth Proportional to 14,492.08, 21,741.38 and 7,828.44

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Solution

The fourth proportional to 14,492.08, 21,741.38 and 7,828.44 is: 11,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.08 : 21,741.38 = 7,828.44 : x
  2. Step 2: Convert to fraction form
    14,492.08/21,741.38 = 7,828.44/x
  3. Step 3: Cross multiply
    14,492.08x = 21,741.38 × 7,828.44
  4. Step 4: Simplify right side
    14,492.08x = 170,201,088.85
  5. Step 5: Solve for x
    x = 170,201,088.85/14,492.08
  6. Step 6: Final answer
    x = 11,744.42

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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.