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Finding the Fourth Proportional to 14,504.34, 21,770.19 and 9,313.14

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Solution

The fourth proportional to 14,504.34, 21,770.19 and 9,313.14 is: 13,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.34 : 21,770.19 = 9,313.14 : x
  2. Step 2: Convert to fraction form
    14,504.34/21,770.19 = 9,313.14/x
  3. Step 3: Cross multiply
    14,504.34x = 21,770.19 × 9,313.14
  4. Step 4: Simplify right side
    14,504.34x = 202,748,827.30
  5. Step 5: Solve for x
    x = 202,748,827.30/14,504.34
  6. Step 6: Final answer
    x = 13,978.49

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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.