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Finding the Fourth Proportional to 21,065.82, 31,602.88 and 7,025.67

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Solution

The fourth proportional to 21,065.82, 31,602.88 and 7,025.67 is: 10,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.82 : 31,602.88 = 7,025.67 : x
  2. Step 2: Convert to fraction form
    21,065.82/31,602.88 = 7,025.67/x
  3. Step 3: Cross multiply
    21,065.82x = 31,602.88 × 7,025.67
  4. Step 4: Simplify right side
    21,065.82x = 222,031,405.93
  5. Step 5: Solve for x
    x = 222,031,405.93/21,065.82
  6. Step 6: Final answer
    x = 10,539.89

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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.