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Finding the Fourth Proportional to 12,276.36, 18,405.90 and 6,341.49

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Solution

The fourth proportional to 12,276.36, 18,405.90 and 6,341.49 is: 9,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.36 : 18,405.90 = 6,341.49 : x
  2. Step 2: Convert to fraction form
    12,276.36/18,405.90 = 6,341.49/x
  3. Step 3: Cross multiply
    12,276.36x = 18,405.90 × 6,341.49
  4. Step 4: Simplify right side
    12,276.36x = 116,720,830.79
  5. Step 5: Solve for x
    x = 116,720,830.79/12,276.36
  6. Step 6: Final answer
    x = 9,507.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.