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Finding the Fourth Proportional to 15,300.52, 22,946.52 and 4,204.56

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Solution

The fourth proportional to 15,300.52, 22,946.52 and 4,204.56 is: 6,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.52 : 22,946.52 = 4,204.56 : x
  2. Step 2: Convert to fraction form
    15,300.52/22,946.52 = 4,204.56/x
  3. Step 3: Cross multiply
    15,300.52x = 22,946.52 × 4,204.56
  4. Step 4: Simplify right side
    15,300.52x = 96,480,020.13
  5. Step 5: Solve for x
    x = 96,480,020.13/15,300.52
  6. Step 6: Final answer
    x = 6,305.67

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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.