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Finding the Fourth Proportional to 43,209.65, 64,823.99 and 13,224.12

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Solution

The fourth proportional to 43,209.65, 64,823.99 and 13,224.12 is: 19,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,209.65 : 64,823.99 = 13,224.12 : x
  2. Step 2: Convert to fraction form
    43,209.65/64,823.99 = 13,224.12/x
  3. Step 3: Cross multiply
    43,209.65x = 64,823.99 × 13,224.12
  4. Step 4: Simplify right side
    43,209.65x = 857,239,832.40
  5. Step 5: Solve for x
    x = 857,239,832.40/43,209.65
  6. Step 6: Final answer
    x = 19,839.08

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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.