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Finding the Fourth Proportional to 21,509.56, 32,276.88 and 9,028.62

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Solution

The fourth proportional to 21,509.56, 32,276.88 and 9,028.62 is: 13,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.56 : 32,276.88 = 9,028.62 : x
  2. Step 2: Convert to fraction form
    21,509.56/32,276.88 = 9,028.62/x
  3. Step 3: Cross multiply
    21,509.56x = 32,276.88 × 9,028.62
  4. Step 4: Simplify right side
    21,509.56x = 291,415,684.31
  5. Step 5: Solve for x
    x = 291,415,684.31/21,509.56
  6. Step 6: Final answer
    x = 13,548.19

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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.