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Finding the Fourth Proportional to 26,409.60, 39,614.40 and 10,838.40

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Solution

The fourth proportional to 26,409.60, 39,614.40 and 10,838.40 is: 16,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,409.60 : 39,614.40 = 10,838.40 : x
  2. Step 2: Convert to fraction form
    26,409.60/39,614.40 = 10,838.40/x
  3. Step 3: Cross multiply
    26,409.60x = 39,614.40 × 10,838.40
  4. Step 4: Simplify right side
    26,409.60x = 429,356,712.96
  5. Step 5: Solve for x
    x = 429,356,712.96/26,409.60
  6. Step 6: Final answer
    x = 16,257.60

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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.