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Finding the Fourth Proportional to 12,826.65, 19,242 and 5,431.16

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Solution

The fourth proportional to 12,826.65, 19,242 and 5,431.16 is: 8,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.65 : 19,242 = 5,431.16 : x
  2. Step 2: Convert to fraction form
    12,826.65/19,242 = 5,431.16/x
  3. Step 3: Cross multiply
    12,826.65x = 19,242 × 5,431.16
  4. Step 4: Simplify right side
    12,826.65x = 104,506,284.51
  5. Step 5: Solve for x
    x = 104,506,284.51/12,826.65
  6. Step 6: Final answer
    x = 8,147.59

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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.