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Finding the Fourth Proportional to 21,412.75, 32,132.10 and 9,100.75

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Solution

The fourth proportional to 21,412.75, 32,132.10 and 9,100.75 is: 13,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.75 : 32,132.10 = 9,100.75 : x
  2. Step 2: Convert to fraction form
    21,412.75/32,132.10 = 9,100.75/x
  3. Step 3: Cross multiply
    21,412.75x = 32,132.10 × 9,100.75
  4. Step 4: Simplify right side
    21,412.75x = 292,426,209.08
  5. Step 5: Solve for x
    x = 292,426,209.08/21,412.75
  6. Step 6: Final answer
    x = 13,656.64

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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.