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Finding the Fourth Proportional to 12,309.42, 18,423.99 and 9,021.72

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Solution

The fourth proportional to 12,309.42, 18,423.99 and 9,021.72 is: 13,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.42 : 18,423.99 = 9,021.72 : x
  2. Step 2: Convert to fraction form
    12,309.42/18,423.99 = 9,021.72/x
  3. Step 3: Cross multiply
    12,309.42x = 18,423.99 × 9,021.72
  4. Step 4: Simplify right side
    12,309.42x = 166,216,079.06
  5. Step 5: Solve for x
    x = 166,216,079.06/12,309.42
  6. Step 6: Final answer
    x = 13,503.16

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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.