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Finding the Fourth Proportional to 12,004.34, 18,013.41 and 6,457.86

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Solution

The fourth proportional to 12,004.34, 18,013.41 and 6,457.86 is: 9,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.34 : 18,013.41 = 6,457.86 : x
  2. Step 2: Convert to fraction form
    12,004.34/18,013.41 = 6,457.86/x
  3. Step 3: Cross multiply
    12,004.34x = 18,013.41 × 6,457.86
  4. Step 4: Simplify right side
    12,004.34x = 116,328,079.90
  5. Step 5: Solve for x
    x = 116,328,079.90/12,004.34
  6. Step 6: Final answer
    x = 9,690.51

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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.