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Finding the Fourth Proportional to 13,076.58, 19,583.88 and 9,952.81

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Solution

The fourth proportional to 13,076.58, 19,583.88 and 9,952.81 is: 14,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.58 : 19,583.88 = 9,952.81 : x
  2. Step 2: Convert to fraction form
    13,076.58/19,583.88 = 9,952.81/x
  3. Step 3: Cross multiply
    13,076.58x = 19,583.88 × 9,952.81
  4. Step 4: Simplify right side
    13,076.58x = 194,914,636.70
  5. Step 5: Solve for x
    x = 194,914,636.70/13,076.58
  6. Step 6: Final answer
    x = 14,905.63

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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.