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Finding the Fourth Proportional to 15,021.71, 20,731.47 and 8,307.85

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Solution

The fourth proportional to 15,021.71, 20,731.47 and 8,307.85 is: 11,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021.71 : 20,731.47 = 8,307.85 : x
  2. Step 2: Convert to fraction form
    15,021.71/20,731.47 = 8,307.85/x
  3. Step 3: Cross multiply
    15,021.71x = 20,731.47 × 8,307.85
  4. Step 4: Simplify right side
    15,021.71x = 172,233,943.04
  5. Step 5: Solve for x
    x = 172,233,943.04/15,021.71
  6. Step 6: Final answer
    x = 11,465.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.