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Finding the Fourth Proportional to 21,412.81, 32,100.76 and 10,304.22

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Solution

The fourth proportional to 21,412.81, 32,100.76 and 10,304.22 is: 15,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.81 : 32,100.76 = 10,304.22 : x
  2. Step 2: Convert to fraction form
    21,412.81/32,100.76 = 10,304.22/x
  3. Step 3: Cross multiply
    21,412.81x = 32,100.76 × 10,304.22
  4. Step 4: Simplify right side
    21,412.81x = 330,773,293.21
  5. Step 5: Solve for x
    x = 330,773,293.21/21,412.81
  6. Step 6: Final answer
    x = 15,447.45

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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.