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Finding the Fourth Proportional to 14,457.70, 21,694.76 and 6,666.52

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Solution

The fourth proportional to 14,457.70, 21,694.76 and 6,666.52 is: 10,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.70 : 21,694.76 = 6,666.52 : x
  2. Step 2: Convert to fraction form
    14,457.70/21,694.76 = 6,666.52/x
  3. Step 3: Cross multiply
    14,457.70x = 21,694.76 × 6,666.52
  4. Step 4: Simplify right side
    14,457.70x = 144,628,551.44
  5. Step 5: Solve for x
    x = 144,628,551.44/14,457.70
  6. Step 6: Final answer
    x = 10,003.57

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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.