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Finding the Fourth Proportional to 21,416.80, 32,119.53 and 9,727.42

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Solution

The fourth proportional to 21,416.80, 32,119.53 and 9,727.42 is: 14,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.80 : 32,119.53 = 9,727.42 : x
  2. Step 2: Convert to fraction form
    21,416.80/32,119.53 = 9,727.42/x
  3. Step 3: Cross multiply
    21,416.80x = 32,119.53 × 9,727.42
  4. Step 4: Simplify right side
    21,416.80x = 312,440,158.51
  5. Step 5: Solve for x
    x = 312,440,158.51/21,416.80
  6. Step 6: Final answer
    x = 14,588.55

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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.