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Finding the Fourth Proportional to 21,629.12, 32,443.68 and 9,317.12

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Solution

The fourth proportional to 21,629.12, 32,443.68 and 9,317.12 is: 13,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.12 : 32,443.68 = 9,317.12 : x
  2. Step 2: Convert to fraction form
    21,629.12/32,443.68 = 9,317.12/x
  3. Step 3: Cross multiply
    21,629.12x = 32,443.68 × 9,317.12
  4. Step 4: Simplify right side
    21,629.12x = 302,281,659.80
  5. Step 5: Solve for x
    x = 302,281,659.80/21,629.12
  6. Step 6: Final answer
    x = 13,975.68

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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.