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Finding the Fourth Proportional to 15,872.70, 23,812.38 and 6,011.76

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Solution

The fourth proportional to 15,872.70, 23,812.38 and 6,011.76 is: 9,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.70 : 23,812.38 = 6,011.76 : x
  2. Step 2: Convert to fraction form
    15,872.70/23,812.38 = 6,011.76/x
  3. Step 3: Cross multiply
    15,872.70x = 23,812.38 × 6,011.76
  4. Step 4: Simplify right side
    15,872.70x = 143,154,313.59
  5. Step 5: Solve for x
    x = 143,154,313.59/15,872.70
  6. Step 6: Final answer
    x = 9,018.90

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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.