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Finding the Fourth Proportional to 17,124.64, 25,631.28 and 9,216.16

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Solution

The fourth proportional to 17,124.64, 25,631.28 and 9,216.16 is: 13,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.64 : 25,631.28 = 9,216.16 : x
  2. Step 2: Convert to fraction form
    17,124.64/25,631.28 = 9,216.16/x
  3. Step 3: Cross multiply
    17,124.64x = 25,631.28 × 9,216.16
  4. Step 4: Simplify right side
    17,124.64x = 236,221,977.48
  5. Step 5: Solve for x
    x = 236,221,977.48/17,124.64
  6. Step 6: Final answer
    x = 13,794.27

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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.