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Finding the Fourth Proportional to 11,478.40, 17,133.92 and 10,096

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Solution

The fourth proportional to 11,478.40, 17,133.92 and 10,096 is: 15,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.40 : 17,133.92 = 10,096 : x
  2. Step 2: Convert to fraction form
    11,478.40/17,133.92 = 10,096/x
  3. Step 3: Cross multiply
    11,478.40x = 17,133.92 × 10,096
  4. Step 4: Simplify right side
    11,478.40x = 172,984,056.32
  5. Step 5: Solve for x
    x = 172,984,056.32/11,478.40
  6. Step 6: Final answer
    x = 15,070.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.