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Finding the Fourth Proportional to 11,615.46, 17,400.51 and 9,280.32

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Solution

The fourth proportional to 11,615.46, 17,400.51 and 9,280.32 is: 13,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.46 : 17,400.51 = 9,280.32 : x
  2. Step 2: Convert to fraction form
    11,615.46/17,400.51 = 9,280.32/x
  3. Step 3: Cross multiply
    11,615.46x = 17,400.51 × 9,280.32
  4. Step 4: Simplify right side
    11,615.46x = 161,482,300.96
  5. Step 5: Solve for x
    x = 161,482,300.96/11,615.46
  6. Step 6: Final answer
    x = 13,902.36

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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.