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Finding the Fourth Proportional to 11,557.40, 17,336.10 and 10,099.40

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Solution

The fourth proportional to 11,557.40, 17,336.10 and 10,099.40 is: 15,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.40 : 17,336.10 = 10,099.40 : x
  2. Step 2: Convert to fraction form
    11,557.40/17,336.10 = 10,099.40/x
  3. Step 3: Cross multiply
    11,557.40x = 17,336.10 × 10,099.40
  4. Step 4: Simplify right side
    11,557.40x = 175,084,208.34
  5. Step 5: Solve for x
    x = 175,084,208.34/11,557.40
  6. Step 6: Final answer
    x = 15,149.10

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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.