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Finding the Fourth Proportional to 21,031.40, 31,545.86 and 7,882.67

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Solution

The fourth proportional to 21,031.40, 31,545.86 and 7,882.67 is: 11,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.40 : 31,545.86 = 7,882.67 : x
  2. Step 2: Convert to fraction form
    21,031.40/31,545.86 = 7,882.67/x
  3. Step 3: Cross multiply
    21,031.40x = 31,545.86 × 7,882.67
  4. Step 4: Simplify right side
    21,031.40x = 248,665,407.10
  5. Step 5: Solve for x
    x = 248,665,407.10/21,031.40
  6. Step 6: Final answer
    x = 11,823.53

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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.