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Finding the Fourth Proportional to 22,977.36, 34,466.94 and 10,498.10

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Solution

The fourth proportional to 22,977.36, 34,466.94 and 10,498.10 is: 15,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.36 : 34,466.94 = 10,498.10 : x
  2. Step 2: Convert to fraction form
    22,977.36/34,466.94 = 10,498.10/x
  3. Step 3: Cross multiply
    22,977.36x = 34,466.94 × 10,498.10
  4. Step 4: Simplify right side
    22,977.36x = 361,837,210.48
  5. Step 5: Solve for x
    x = 361,837,210.48/22,977.36
  6. Step 6: Final answer
    x = 15,747.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.