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Finding the Fourth Proportional to 21,509.57, 32,276.88 and 9,028.64

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Solution

The fourth proportional to 21,509.57, 32,276.88 and 9,028.64 is: 13,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.57 : 32,276.88 = 9,028.64 : x
  2. Step 2: Convert to fraction form
    21,509.57/32,276.88 = 9,028.64/x
  3. Step 3: Cross multiply
    21,509.57x = 32,276.88 × 9,028.64
  4. Step 4: Simplify right side
    21,509.57x = 291,416,168.46
  5. Step 5: Solve for x
    x = 291,416,168.46/21,509.57
  6. Step 6: Final answer
    x = 13,548.21

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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.