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Finding the Fourth Proportional to 20,274.19, 30,416.82 and 9,753.01

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Solution

The fourth proportional to 20,274.19, 30,416.82 and 9,753.01 is: 14,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.19 : 30,416.82 = 9,753.01 : x
  2. Step 2: Convert to fraction form
    20,274.19/30,416.82 = 9,753.01/x
  3. Step 3: Cross multiply
    20,274.19x = 30,416.82 × 9,753.01
  4. Step 4: Simplify right side
    20,274.19x = 296,655,549.63
  5. Step 5: Solve for x
    x = 296,655,549.63/20,274.19
  6. Step 6: Final answer
    x = 14,632.18

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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.