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Finding the Fourth Proportional to 14,971.87, 22,457.87 and 3,877.77

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Solution

The fourth proportional to 14,971.87, 22,457.87 and 3,877.77 is: 5,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.87 : 22,457.87 = 3,877.77 : x
  2. Step 2: Convert to fraction form
    14,971.87/22,457.87 = 3,877.77/x
  3. Step 3: Cross multiply
    14,971.87x = 22,457.87 × 3,877.77
  4. Step 4: Simplify right side
    14,971.87x = 87,086,435.16
  5. Step 5: Solve for x
    x = 87,086,435.16/14,971.87
  6. Step 6: Final answer
    x = 5,816.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.