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Finding the Fourth Proportional to 12,842.68, 19,269.59 and 4,528.64

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Solution

The fourth proportional to 12,842.68, 19,269.59 and 4,528.64 is: 6,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.68 : 19,269.59 = 4,528.64 : x
  2. Step 2: Convert to fraction form
    12,842.68/19,269.59 = 4,528.64/x
  3. Step 3: Cross multiply
    12,842.68x = 19,269.59 × 4,528.64
  4. Step 4: Simplify right side
    12,842.68x = 87,265,036.06
  5. Step 5: Solve for x
    x = 87,265,036.06/12,842.68
  6. Step 6: Final answer
    x = 6,794.92

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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.