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Finding the Fourth Proportional to 16,180.72, 22,325.34 and 12,407.74

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Solution

The fourth proportional to 16,180.72, 22,325.34 and 12,407.74 is: 17,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.72 : 22,325.34 = 12,407.74 : x
  2. Step 2: Convert to fraction form
    16,180.72/22,325.34 = 12,407.74/x
  3. Step 3: Cross multiply
    16,180.72x = 22,325.34 × 12,407.74
  4. Step 4: Simplify right side
    16,180.72x = 277,007,014.13
  5. Step 5: Solve for x
    x = 277,007,014.13/16,180.72
  6. Step 6: Final answer
    x = 17,119.57

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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.