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Finding the Fourth Proportional to 14,457.86, 21,689.69 and 6,137.81

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Solution

The fourth proportional to 14,457.86, 21,689.69 and 6,137.81 is: 9,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.86 : 21,689.69 = 6,137.81 : x
  2. Step 2: Convert to fraction form
    14,457.86/21,689.69 = 6,137.81/x
  3. Step 3: Cross multiply
    14,457.86x = 21,689.69 × 6,137.81
  4. Step 4: Simplify right side
    14,457.86x = 133,127,057.04
  5. Step 5: Solve for x
    x = 133,127,057.04/14,457.86
  6. Step 6: Final answer
    x = 9,207.94

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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.