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Finding the Fourth Proportional to 15,381.70, 23,057.76 and 9,819.34

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Solution

The fourth proportional to 15,381.70, 23,057.76 and 9,819.34 is: 14,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381.70 : 23,057.76 = 9,819.34 : x
  2. Step 2: Convert to fraction form
    15,381.70/23,057.76 = 9,819.34/x
  3. Step 3: Cross multiply
    15,381.70x = 23,057.76 × 9,819.34
  4. Step 4: Simplify right side
    15,381.70x = 226,411,985.08
  5. Step 5: Solve for x
    x = 226,411,985.08/15,381.70
  6. Step 6: Final answer
    x = 14,719.57

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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.