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Finding the Fourth Proportional to 26,423.84, 39,633.74 and 9,776.04

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Solution

The fourth proportional to 26,423.84, 39,633.74 and 9,776.04 is: 14,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,423.84 : 39,633.74 = 9,776.04 : x
  2. Step 2: Convert to fraction form
    26,423.84/39,633.74 = 9,776.04/x
  3. Step 3: Cross multiply
    26,423.84x = 39,633.74 × 9,776.04
  4. Step 4: Simplify right side
    26,423.84x = 387,461,027.59
  5. Step 5: Solve for x
    x = 387,461,027.59/26,423.84
  6. Step 6: Final answer
    x = 14,663.31

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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.