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Finding the Fourth Proportional to 28,389.60, 39,174.84 and 15,813

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Solution

The fourth proportional to 28,389.60, 39,174.84 and 15,813 is: 21,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,389.60 : 39,174.84 = 15,813 : x
  2. Step 2: Convert to fraction form
    28,389.60/39,174.84 = 15,813/x
  3. Step 3: Cross multiply
    28,389.60x = 39,174.84 × 15,813
  4. Step 4: Simplify right side
    28,389.60x = 619,471,744.92
  5. Step 5: Solve for x
    x = 619,471,744.92/28,389.60
  6. Step 6: Final answer
    x = 21,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.