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Finding the Fourth Proportional to 15,999.30, 24,010.95 and 8,204.10

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Solution

The fourth proportional to 15,999.30, 24,010.95 and 8,204.10 is: 12,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.30 : 24,010.95 = 8,204.10 : x
  2. Step 2: Convert to fraction form
    15,999.30/24,010.95 = 8,204.10/x
  3. Step 3: Cross multiply
    15,999.30x = 24,010.95 × 8,204.10
  4. Step 4: Simplify right side
    15,999.30x = 196,988,234.90
  5. Step 5: Solve for x
    x = 196,988,234.90/15,999.30
  6. Step 6: Final answer
    x = 12,312.30

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1.5x scale

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.