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Finding the Fourth Proportional to 14,857.34, 20,506.02 and 9,821.84

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Solution

The fourth proportional to 14,857.34, 20,506.02 and 9,821.84 is: 13,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.34 : 20,506.02 = 9,821.84 : x
  2. Step 2: Convert to fraction form
    14,857.34/20,506.02 = 9,821.84/x
  3. Step 3: Cross multiply
    14,857.34x = 20,506.02 × 9,821.84
  4. Step 4: Simplify right side
    14,857.34x = 201,406,847.48
  5. Step 5: Solve for x
    x = 201,406,847.48/14,857.34
  6. Step 6: Final answer
    x = 13,556.05

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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.