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Finding the Fourth Proportional to 14,996.20, 22,493.34 and 4,609

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Solution

The fourth proportional to 14,996.20, 22,493.34 and 4,609 is: 6,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.20 : 22,493.34 = 4,609 : x
  2. Step 2: Convert to fraction form
    14,996.20/22,493.34 = 4,609/x
  3. Step 3: Cross multiply
    14,996.20x = 22,493.34 × 4,609
  4. Step 4: Simplify right side
    14,996.20x = 103,671,804.06
  5. Step 5: Solve for x
    x = 103,671,804.06/14,996.20
  6. Step 6: Final answer
    x = 6,913.20

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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.