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Finding the Fourth Proportional to 12,341.96, 18,501.74 and 6,411.92

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Solution

The fourth proportional to 12,341.96, 18,501.74 and 6,411.92 is: 9,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.96 : 18,501.74 = 6,411.92 : x
  2. Step 2: Convert to fraction form
    12,341.96/18,501.74 = 6,411.92/x
  3. Step 3: Cross multiply
    12,341.96x = 18,501.74 × 6,411.92
  4. Step 4: Simplify right side
    12,341.96x = 118,631,676.74
  5. Step 5: Solve for x
    x = 118,631,676.74/12,341.96
  6. Step 6: Final answer
    x = 9,612.06

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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.