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Finding the Fourth Proportional to 17,614.40, 26,440.80 and 9,838.40

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Solution

The fourth proportional to 17,614.40, 26,440.80 and 9,838.40 is: 14,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.40 : 26,440.80 = 9,838.40 : x
  2. Step 2: Convert to fraction form
    17,614.40/26,440.80 = 9,838.40/x
  3. Step 3: Cross multiply
    17,614.40x = 26,440.80 × 9,838.40
  4. Step 4: Simplify right side
    17,614.40x = 260,135,166.72
  5. Step 5: Solve for x
    x = 260,135,166.72/17,614.40
  6. Step 6: Final answer
    x = 14,768.32

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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.