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Finding the Fourth Proportional to 17,609.76, 24,285.96 and 10,894.32

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Solution

The fourth proportional to 17,609.76, 24,285.96 and 10,894.32 is: 15,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.76 : 24,285.96 = 10,894.32 : x
  2. Step 2: Convert to fraction form
    17,609.76/24,285.96 = 10,894.32/x
  3. Step 3: Cross multiply
    17,609.76x = 24,285.96 × 10,894.32
  4. Step 4: Simplify right side
    17,609.76x = 264,579,019.75
  5. Step 5: Solve for x
    x = 264,579,019.75/17,609.76
  6. Step 6: Final answer
    x = 15,024.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.