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Finding the Fourth Proportional to 21,695.64, 32,454.36 and 17,321.64

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Solution

The fourth proportional to 21,695.64, 32,454.36 and 17,321.64 is: 25,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.64 : 32,454.36 = 17,321.64 : x
  2. Step 2: Convert to fraction form
    21,695.64/32,454.36 = 17,321.64/x
  3. Step 3: Cross multiply
    21,695.64x = 32,454.36 × 17,321.64
  4. Step 4: Simplify right side
    21,695.64x = 562,162,740.35
  5. Step 5: Solve for x
    x = 562,162,740.35/21,695.64
  6. Step 6: Final answer
    x = 25,911.32

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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.