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Finding the Fourth Proportional to 17,265.40, 25,898.10 and 7,411.78

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Solution

The fourth proportional to 17,265.40, 25,898.10 and 7,411.78 is: 11,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.40 : 25,898.10 = 7,411.78 : x
  2. Step 2: Convert to fraction form
    17,265.40/25,898.10 = 7,411.78/x
  3. Step 3: Cross multiply
    17,265.40x = 25,898.10 × 7,411.78
  4. Step 4: Simplify right side
    17,265.40x = 191,951,019.62
  5. Step 5: Solve for x
    x = 191,951,019.62/17,265.40
  6. Step 6: Final answer
    x = 11,117.67

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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.