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Finding the Fourth Proportional to 30,196.84, 45,300.70 and 12,424.36

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Solution

The fourth proportional to 30,196.84, 45,300.70 and 12,424.36 is: 18,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.84 : 45,300.70 = 12,424.36 : x
  2. Step 2: Convert to fraction form
    30,196.84/45,300.70 = 12,424.36/x
  3. Step 3: Cross multiply
    30,196.84x = 45,300.70 × 12,424.36
  4. Step 4: Simplify right side
    30,196.84x = 562,832,205.05
  5. Step 5: Solve for x
    x = 562,832,205.05/30,196.84
  6. Step 6: Final answer
    x = 18,638.78

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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.