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Finding the Fourth Proportional to 12,408.32, 18,541.64 and 9,430.40

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Solution

The fourth proportional to 12,408.32, 18,541.64 and 9,430.40 is: 14,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.32 : 18,541.64 = 9,430.40 : x
  2. Step 2: Convert to fraction form
    12,408.32/18,541.64 = 9,430.40/x
  3. Step 3: Cross multiply
    12,408.32x = 18,541.64 × 9,430.40
  4. Step 4: Simplify right side
    12,408.32x = 174,855,081.86
  5. Step 5: Solve for x
    x = 174,855,081.86/12,408.32
  6. Step 6: Final answer
    x = 14,091.76

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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.