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Finding the Fourth Proportional to 14,964.88, 20,634.42 and 9,580.18

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Solution

The fourth proportional to 14,964.88, 20,634.42 and 9,580.18 is: 13,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.88 : 20,634.42 = 9,580.18 : x
  2. Step 2: Convert to fraction form
    14,964.88/20,634.42 = 9,580.18/x
  3. Step 3: Cross multiply
    14,964.88x = 20,634.42 × 9,580.18
  4. Step 4: Simplify right side
    14,964.88x = 197,681,457.80
  5. Step 5: Solve for x
    x = 197,681,457.80/14,964.88
  6. Step 6: Final answer
    x = 13,209.69

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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.