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Finding the Fourth Proportional to 22,216, 30,658.40 and 12,280

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Solution

The fourth proportional to 22,216, 30,658.40 and 12,280 is: 16,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,216 : 30,658.40 = 12,280 : x
  2. Step 2: Convert to fraction form
    22,216/30,658.40 = 12,280/x
  3. Step 3: Cross multiply
    22,216x = 30,658.40 × 12,280
  4. Step 4: Simplify right side
    22,216x = 376,485,152
  5. Step 5: Solve for x
    x = 376,485,152/22,216
  6. Step 6: Final answer
    x = 16,946.58

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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.