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Finding the Fourth Proportional to 15,215.50, 22,826.90 and 4,827.25

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Solution

The fourth proportional to 15,215.50, 22,826.90 and 4,827.25 is: 7,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.50 : 22,826.90 = 4,827.25 : x
  2. Step 2: Convert to fraction form
    15,215.50/22,826.90 = 4,827.25/x
  3. Step 3: Cross multiply
    15,215.50x = 22,826.90 × 4,827.25
  4. Step 4: Simplify right side
    15,215.50x = 110,191,153.03
  5. Step 5: Solve for x
    x = 110,191,153.03/15,215.50
  6. Step 6: Final answer
    x = 7,242.03

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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.