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Finding the Fourth Proportional to 21,457.82, 29,636.03 and 14,640.14

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Solution

The fourth proportional to 21,457.82, 29,636.03 and 14,640.14 is: 20,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.82 : 29,636.03 = 14,640.14 : x
  2. Step 2: Convert to fraction form
    21,457.82/29,636.03 = 14,640.14/x
  3. Step 3: Cross multiply
    21,457.82x = 29,636.03 × 14,640.14
  4. Step 4: Simplify right side
    21,457.82x = 433,875,516.66
  5. Step 5: Solve for x
    x = 433,875,516.66/21,457.82
  6. Step 6: Final answer
    x = 20,219.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.