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Finding the Fourth Proportional to 14,536.80, 20,052.36 and 9,812.88

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Solution

The fourth proportional to 14,536.80, 20,052.36 and 9,812.88 is: 13,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.80 : 20,052.36 = 9,812.88 : x
  2. Step 2: Convert to fraction form
    14,536.80/20,052.36 = 9,812.88/x
  3. Step 3: Cross multiply
    14,536.80x = 20,052.36 × 9,812.88
  4. Step 4: Simplify right side
    14,536.80x = 196,771,402.40
  5. Step 5: Solve for x
    x = 196,771,402.40/14,536.80
  6. Step 6: Final answer
    x = 13,536.09

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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.