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Finding the Fourth Proportional to 14,530.80, 21,804.30 and 6,209.40

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Solution

The fourth proportional to 14,530.80, 21,804.30 and 6,209.40 is: 9,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.80 : 21,804.30 = 6,209.40 : x
  2. Step 2: Convert to fraction form
    14,530.80/21,804.30 = 6,209.40/x
  3. Step 3: Cross multiply
    14,530.80x = 21,804.30 × 6,209.40
  4. Step 4: Simplify right side
    14,530.80x = 135,391,620.42
  5. Step 5: Solve for x
    x = 135,391,620.42/14,530.80
  6. Step 6: Final answer
    x = 9,317.56

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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.