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Finding the Fourth Proportional to 15,850.63, 23,774.14 and 4,164.76

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Solution

The fourth proportional to 15,850.63, 23,774.14 and 4,164.76 is: 6,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.63 : 23,774.14 = 4,164.76 : x
  2. Step 2: Convert to fraction form
    15,850.63/23,774.14 = 4,164.76/x
  3. Step 3: Cross multiply
    15,850.63x = 23,774.14 × 4,164.76
  4. Step 4: Simplify right side
    15,850.63x = 99,013,587.31
  5. Step 5: Solve for x
    x = 99,013,587.31/15,850.63
  6. Step 6: Final answer
    x = 6,246.67

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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.