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Finding the Fourth Proportional to 13,043.60, 19,530.84 and 7,842.32

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Solution

The fourth proportional to 13,043.60, 19,530.84 and 7,842.32 is: 11,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.60 : 19,530.84 = 7,842.32 : x
  2. Step 2: Convert to fraction form
    13,043.60/19,530.84 = 7,842.32/x
  3. Step 3: Cross multiply
    13,043.60x = 19,530.84 × 7,842.32
  4. Step 4: Simplify right side
    13,043.60x = 153,167,097.15
  5. Step 5: Solve for x
    x = 153,167,097.15/13,043.60
  6. Step 6: Final answer
    x = 11,742.70

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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.