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Finding the Fourth Proportional to 16,477.84, 22,739.28 and 9,025.84

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Solution

The fourth proportional to 16,477.84, 22,739.28 and 9,025.84 is: 12,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.84 : 22,739.28 = 9,025.84 : x
  2. Step 2: Convert to fraction form
    16,477.84/22,739.28 = 9,025.84/x
  3. Step 3: Cross multiply
    16,477.84x = 22,739.28 × 9,025.84
  4. Step 4: Simplify right side
    16,477.84x = 205,241,103.00
  5. Step 5: Solve for x
    x = 205,241,103.00/16,477.84
  6. Step 6: Final answer
    x = 12,455.58

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1.5x scale

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.