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Finding the Fourth Proportional to 17,428.96, 26,153.69 and 6,900

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Solution

The fourth proportional to 17,428.96, 26,153.69 and 6,900 is: 10,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.96 : 26,153.69 = 6,900 : x
  2. Step 2: Convert to fraction form
    17,428.96/26,153.69 = 6,900/x
  3. Step 3: Cross multiply
    17,428.96x = 26,153.69 × 6,900
  4. Step 4: Simplify right side
    17,428.96x = 180,460,461
  5. Step 5: Solve for x
    x = 180,460,461/17,428.96
  6. Step 6: Final answer
    x = 10,354.06

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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.