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Finding the Fourth Proportional to 26,076.18, 39,114 and 6,354.84

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Solution

The fourth proportional to 26,076.18, 39,114 and 6,354.84 is: 9,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076.18 : 39,114 = 6,354.84 : x
  2. Step 2: Convert to fraction form
    26,076.18/39,114 = 6,354.84/x
  3. Step 3: Cross multiply
    26,076.18x = 39,114 × 6,354.84
  4. Step 4: Simplify right side
    26,076.18x = 248,563,211.76
  5. Step 5: Solve for x
    x = 248,563,211.76/26,076.18
  6. Step 6: Final answer
    x = 9,532.19

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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.