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Finding the Fourth Proportional to 26,466.62, 39,698.64 and 9,829.89

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Solution

The fourth proportional to 26,466.62, 39,698.64 and 9,829.89 is: 14,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466.62 : 39,698.64 = 9,829.89 : x
  2. Step 2: Convert to fraction form
    26,466.62/39,698.64 = 9,829.89/x
  3. Step 3: Cross multiply
    26,466.62x = 39,698.64 × 9,829.89
  4. Step 4: Simplify right side
    26,466.62x = 390,233,264.35
  5. Step 5: Solve for x
    x = 390,233,264.35/26,466.62
  6. Step 6: Final answer
    x = 14,744.36

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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.