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Finding the Fourth Proportional to 15,238.08, 21,031.92 and 9,648

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Solution

The fourth proportional to 15,238.08, 21,031.92 and 9,648 is: 13,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.08 : 21,031.92 = 9,648 : x
  2. Step 2: Convert to fraction form
    15,238.08/21,031.92 = 9,648/x
  3. Step 3: Cross multiply
    15,238.08x = 21,031.92 × 9,648
  4. Step 4: Simplify right side
    15,238.08x = 202,915,964.16
  5. Step 5: Solve for x
    x = 202,915,964.16/15,238.08
  6. Step 6: Final answer
    x = 13,316.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.