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Finding the Fourth Proportional to 26,213, 39,325.98 and 7,745

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Solution

The fourth proportional to 26,213, 39,325.98 and 7,745 is: 11,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,213 : 39,325.98 = 7,745 : x
  2. Step 2: Convert to fraction form
    26,213/39,325.98 = 7,745/x
  3. Step 3: Cross multiply
    26,213x = 39,325.98 × 7,745
  4. Step 4: Simplify right side
    26,213x = 304,579,715.10
  5. Step 5: Solve for x
    x = 304,579,715.10/26,213
  6. Step 6: Final answer
    x = 11,619.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.