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Finding the Fourth Proportional to 22,050, 30,429 and 12,114

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Solution

The fourth proportional to 22,050, 30,429 and 12,114 is: 16,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050 : 30,429 = 12,114 : x
  2. Step 2: Convert to fraction form
    22,050/30,429 = 12,114/x
  3. Step 3: Cross multiply
    22,050x = 30,429 × 12,114
  4. Step 4: Simplify right side
    22,050x = 368,616,906
  5. Step 5: Solve for x
    x = 368,616,906/22,050
  6. Step 6: Final answer
    x = 16,717.32

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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.