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Finding the Fourth Proportional to 21,608.42, 32,421.27 and 9,305.06

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Solution

The fourth proportional to 21,608.42, 32,421.27 and 9,305.06 is: 13,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608.42 : 32,421.27 = 9,305.06 : x
  2. Step 2: Convert to fraction form
    21,608.42/32,421.27 = 9,305.06/x
  3. Step 3: Cross multiply
    21,608.42x = 32,421.27 × 9,305.06
  4. Step 4: Simplify right side
    21,608.42x = 301,681,862.63
  5. Step 5: Solve for x
    x = 301,681,862.63/21,608.42
  6. Step 6: Final answer
    x = 13,961.31

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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.