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Finding the Fourth Proportional to 26,466.88, 39,719.44 and 9,829.28

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Solution

The fourth proportional to 26,466.88, 39,719.44 and 9,829.28 is: 14,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466.88 : 39,719.44 = 9,829.28 : x
  2. Step 2: Convert to fraction form
    26,466.88/39,719.44 = 9,829.28/x
  3. Step 3: Cross multiply
    26,466.88x = 39,719.44 × 9,829.28
  4. Step 4: Simplify right side
    26,466.88x = 390,413,497.20
  5. Step 5: Solve for x
    x = 390,413,497.20/26,466.88
  6. Step 6: Final answer
    x = 14,751.02

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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.