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Finding the Fourth Proportional to 16,122.14, 22,246.62 and 9,407

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Solution

The fourth proportional to 16,122.14, 22,246.62 and 9,407 is: 12,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.14 : 22,246.62 = 9,407 : x
  2. Step 2: Convert to fraction form
    16,122.14/22,246.62 = 9,407/x
  3. Step 3: Cross multiply
    16,122.14x = 22,246.62 × 9,407
  4. Step 4: Simplify right side
    16,122.14x = 209,273,954.34
  5. Step 5: Solve for x
    x = 209,273,954.34/16,122.14
  6. Step 6: Final answer
    x = 12,980.53

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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.