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Finding the Fourth Proportional to 30,195.84, 45,299.20 and 12,423.36

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Solution

The fourth proportional to 30,195.84, 45,299.20 and 12,423.36 is: 18,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.84 : 45,299.20 = 12,423.36 : x
  2. Step 2: Convert to fraction form
    30,195.84/45,299.20 = 12,423.36/x
  3. Step 3: Cross multiply
    30,195.84x = 45,299.20 × 12,423.36
  4. Step 4: Simplify right side
    30,195.84x = 562,768,269.31
  5. Step 5: Solve for x
    x = 562,768,269.31/30,195.84
  6. Step 6: Final answer
    x = 18,637.28

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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.