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Finding the Fourth Proportional to 26,001.84, 39,006 and 8,466.96

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Solution

The fourth proportional to 26,001.84, 39,006 and 8,466.96 is: 12,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001.84 : 39,006 = 8,466.96 : x
  2. Step 2: Convert to fraction form
    26,001.84/39,006 = 8,466.96/x
  3. Step 3: Cross multiply
    26,001.84x = 39,006 × 8,466.96
  4. Step 4: Simplify right side
    26,001.84x = 330,262,241.76
  5. Step 5: Solve for x
    x = 330,262,241.76/26,001.84
  6. Step 6: Final answer
    x = 12,701.50

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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.