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Finding the Fourth Proportional to 12,524.76, 17,280.54 and 7,807.32

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Solution

The fourth proportional to 12,524.76, 17,280.54 and 7,807.32 is: 10,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.76 : 17,280.54 = 7,807.32 : x
  2. Step 2: Convert to fraction form
    12,524.76/17,280.54 = 7,807.32/x
  3. Step 3: Cross multiply
    12,524.76x = 17,280.54 × 7,807.32
  4. Step 4: Simplify right side
    12,524.76x = 134,914,705.55
  5. Step 5: Solve for x
    x = 134,914,705.55/12,524.76
  6. Step 6: Final answer
    x = 10,771.84

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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.