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Finding the Fourth Proportional to 13,023.68, 19,537.92 and 4,259.08

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Solution

The fourth proportional to 13,023.68, 19,537.92 and 4,259.08 is: 6,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.68 : 19,537.92 = 4,259.08 : x
  2. Step 2: Convert to fraction form
    13,023.68/19,537.92 = 4,259.08/x
  3. Step 3: Cross multiply
    13,023.68x = 19,537.92 × 4,259.08
  4. Step 4: Simplify right side
    13,023.68x = 83,213,564.31
  5. Step 5: Solve for x
    x = 83,213,564.31/13,023.68
  6. Step 6: Final answer
    x = 6,389.40

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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.