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Finding the Fourth Proportional to 12,466.32, 18,577.97 and 12,106.48

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Solution

The fourth proportional to 12,466.32, 18,577.97 and 12,106.48 is: 18,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.32 : 18,577.97 = 12,106.48 : x
  2. Step 2: Convert to fraction form
    12,466.32/18,577.97 = 12,106.48/x
  3. Step 3: Cross multiply
    12,466.32x = 18,577.97 × 12,106.48
  4. Step 4: Simplify right side
    12,466.32x = 224,913,715.27
  5. Step 5: Solve for x
    x = 224,913,715.27/12,466.32
  6. Step 6: Final answer
    x = 18,041.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.