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Finding the Fourth Proportional to 15,358.50, 23,038.20 and 4,266

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Solution

The fourth proportional to 15,358.50, 23,038.20 and 4,266 is: 6,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,358.50 : 23,038.20 = 4,266 : x
  2. Step 2: Convert to fraction form
    15,358.50/23,038.20 = 4,266/x
  3. Step 3: Cross multiply
    15,358.50x = 23,038.20 × 4,266
  4. Step 4: Simplify right side
    15,358.50x = 98,280,961.20
  5. Step 5: Solve for x
    x = 98,280,961.20/15,358.50
  6. Step 6: Final answer
    x = 6,399.12

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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.