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Finding the Fourth Proportional to 12,228.21, 16,875 and 6,923.52

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Solution

The fourth proportional to 12,228.21, 16,875 and 6,923.52 is: 9,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.21 : 16,875 = 6,923.52 : x
  2. Step 2: Convert to fraction form
    12,228.21/16,875 = 6,923.52/x
  3. Step 3: Cross multiply
    12,228.21x = 16,875 × 6,923.52
  4. Step 4: Simplify right side
    12,228.21x = 116,834,400
  5. Step 5: Solve for x
    x = 116,834,400/12,228.21
  6. Step 6: Final answer
    x = 9,554.50

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