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Finding the Fourth Proportional to 12,438.34, 17,164.48 and 6,772.99

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Solution

The fourth proportional to 12,438.34, 17,164.48 and 6,772.99 is: 9,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.34 : 17,164.48 = 6,772.99 : x
  2. Step 2: Convert to fraction form
    12,438.34/17,164.48 = 6,772.99/x
  3. Step 3: Cross multiply
    12,438.34x = 17,164.48 × 6,772.99
  4. Step 4: Simplify right side
    12,438.34x = 116,254,851.40
  5. Step 5: Solve for x
    x = 116,254,851.40/12,438.34
  6. Step 6: Final answer
    x = 9,346.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.