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Finding the Fourth Proportional to 21,453.68, 32,175.66 and 7,602.68

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Solution

The fourth proportional to 21,453.68, 32,175.66 and 7,602.68 is: 11,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.68 : 32,175.66 = 7,602.68 : x
  2. Step 2: Convert to fraction form
    21,453.68/32,175.66 = 7,602.68/x
  3. Step 3: Cross multiply
    21,453.68x = 32,175.66 × 7,602.68
  4. Step 4: Simplify right side
    21,453.68x = 244,621,246.77
  5. Step 5: Solve for x
    x = 244,621,246.77/21,453.68
  6. Step 6: Final answer
    x = 11,402.30

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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.