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Finding the Fourth Proportional to 23,005.04, 34,499.04 and 8,210

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Solution

The fourth proportional to 23,005.04, 34,499.04 and 8,210 is: 12,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.04 : 34,499.04 = 8,210 : x
  2. Step 2: Convert to fraction form
    23,005.04/34,499.04 = 8,210/x
  3. Step 3: Cross multiply
    23,005.04x = 34,499.04 × 8,210
  4. Step 4: Simplify right side
    23,005.04x = 283,237,118.40
  5. Step 5: Solve for x
    x = 283,237,118.40/23,005.04
  6. Step 6: Final answer
    x = 12,311.96

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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.