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Finding the Fourth Proportional to 15,697.66, 23,546.46 and 9,858.36

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Solution

The fourth proportional to 15,697.66, 23,546.46 and 9,858.36 is: 14,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.66 : 23,546.46 = 9,858.36 : x
  2. Step 2: Convert to fraction form
    15,697.66/23,546.46 = 9,858.36/x
  3. Step 3: Cross multiply
    15,697.66x = 23,546.46 × 9,858.36
  4. Step 4: Simplify right side
    15,697.66x = 232,129,479.41
  5. Step 5: Solve for x
    x = 232,129,479.41/15,697.66
  6. Step 6: Final answer
    x = 14,787.52

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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.