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Finding the Fourth Proportional to 26,582.36, 39,838.98 and 11,769.08

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Solution

The fourth proportional to 26,582.36, 39,838.98 and 11,769.08 is: 17,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582.36 : 39,838.98 = 11,769.08 : x
  2. Step 2: Convert to fraction form
    26,582.36/39,838.98 = 11,769.08/x
  3. Step 3: Cross multiply
    26,582.36x = 39,838.98 × 11,769.08
  4. Step 4: Simplify right side
    26,582.36x = 468,868,142.74
  5. Step 5: Solve for x
    x = 468,868,142.74/26,582.36
  6. Step 6: Final answer
    x = 17,638.32

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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.