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Finding the Fourth Proportional to 11,915.20, 17,875.20 and 9,980.80

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Solution

The fourth proportional to 11,915.20, 17,875.20 and 9,980.80 is: 14,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.20 : 17,875.20 = 9,980.80 : x
  2. Step 2: Convert to fraction form
    11,915.20/17,875.20 = 9,980.80/x
  3. Step 3: Cross multiply
    11,915.20x = 17,875.20 × 9,980.80
  4. Step 4: Simplify right side
    11,915.20x = 178,408,796.16
  5. Step 5: Solve for x
    x = 178,408,796.16/11,915.20
  6. Step 6: Final answer
    x = 14,973.21

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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.