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Finding the Fourth Proportional to 26,423.23, 39,640.02 and 9,783.40

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Solution

The fourth proportional to 26,423.23, 39,640.02 and 9,783.40 is: 14,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,423.23 : 39,640.02 = 9,783.40 : x
  2. Step 2: Convert to fraction form
    26,423.23/39,640.02 = 9,783.40/x
  3. Step 3: Cross multiply
    26,423.23x = 39,640.02 × 9,783.40
  4. Step 4: Simplify right side
    26,423.23x = 387,814,171.67
  5. Step 5: Solve for x
    x = 387,814,171.67/26,423.23
  6. Step 6: Final answer
    x = 14,677.02

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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.