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Finding the Fourth Proportional to 15,427.76, 23,119.32 and 8,401.84

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Solution

The fourth proportional to 15,427.76, 23,119.32 and 8,401.84 is: 12,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427.76 : 23,119.32 = 8,401.84 : x
  2. Step 2: Convert to fraction form
    15,427.76/23,119.32 = 8,401.84/x
  3. Step 3: Cross multiply
    15,427.76x = 23,119.32 × 8,401.84
  4. Step 4: Simplify right side
    15,427.76x = 194,244,827.55
  5. Step 5: Solve for x
    x = 194,244,827.55/15,427.76
  6. Step 6: Final answer
    x = 12,590.60

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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.