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Finding the Fourth Proportional to 26,401.84, 39,598.42 and 7,929.52

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Solution

The fourth proportional to 26,401.84, 39,598.42 and 7,929.52 is: 11,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.84 : 39,598.42 = 7,929.52 : x
  2. Step 2: Convert to fraction form
    26,401.84/39,598.42 = 7,929.52/x
  3. Step 3: Cross multiply
    26,401.84x = 39,598.42 × 7,929.52
  4. Step 4: Simplify right side
    26,401.84x = 313,996,463.36
  5. Step 5: Solve for x
    x = 313,996,463.36/26,401.84
  6. Step 6: Final answer
    x = 11,892.98

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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.