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Finding the Fourth Proportional to 26,227.84, 39,341.76 and 9,808

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Solution

The fourth proportional to 26,227.84, 39,341.76 and 9,808 is: 14,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,227.84 : 39,341.76 = 9,808 : x
  2. Step 2: Convert to fraction form
    26,227.84/39,341.76 = 9,808/x
  3. Step 3: Cross multiply
    26,227.84x = 39,341.76 × 9,808
  4. Step 4: Simplify right side
    26,227.84x = 385,863,982.08
  5. Step 5: Solve for x
    x = 385,863,982.08/26,227.84
  6. Step 6: Final answer
    x = 14,712.00

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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.