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Finding the Fourth Proportional to 17,568.64, 26,352.96 and 7,705.60

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Solution

The fourth proportional to 17,568.64, 26,352.96 and 7,705.60 is: 11,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.64 : 26,352.96 = 7,705.60 : x
  2. Step 2: Convert to fraction form
    17,568.64/26,352.96 = 7,705.60/x
  3. Step 3: Cross multiply
    17,568.64x = 26,352.96 × 7,705.60
  4. Step 4: Simplify right side
    17,568.64x = 203,065,368.58
  5. Step 5: Solve for x
    x = 203,065,368.58/17,568.64
  6. Step 6: Final answer
    x = 11,558.40

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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.