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Finding the Fourth Proportional to 15,905.64, 23,846.94 and 7,580.52

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Solution

The fourth proportional to 15,905.64, 23,846.94 and 7,580.52 is: 11,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.64 : 23,846.94 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    15,905.64/23,846.94 = 7,580.52/x
  3. Step 3: Cross multiply
    15,905.64x = 23,846.94 × 7,580.52
  4. Step 4: Simplify right side
    15,905.64x = 180,772,205.61
  5. Step 5: Solve for x
    x = 180,772,205.61/15,905.64
  6. Step 6: Final answer
    x = 11,365.29

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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.