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Finding the Fourth Proportional to 16,466.77, 22,724.44 and 9,749.95

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Solution

The fourth proportional to 16,466.77, 22,724.44 and 9,749.95 is: 13,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.77 : 22,724.44 = 9,749.95 : x
  2. Step 2: Convert to fraction form
    16,466.77/22,724.44 = 9,749.95/x
  3. Step 3: Cross multiply
    16,466.77x = 22,724.44 × 9,749.95
  4. Step 4: Simplify right side
    16,466.77x = 221,562,153.78
  5. Step 5: Solve for x
    x = 221,562,153.78/16,466.77
  6. Step 6: Final answer
    x = 13,455.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.