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Finding the Fourth Proportional to 16,666.30, 24,999.90 and 7,301.50

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Solution

The fourth proportional to 16,666.30, 24,999.90 and 7,301.50 is: 10,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.30 : 24,999.90 = 7,301.50 : x
  2. Step 2: Convert to fraction form
    16,666.30/24,999.90 = 7,301.50/x
  3. Step 3: Cross multiply
    16,666.30x = 24,999.90 × 7,301.50
  4. Step 4: Simplify right side
    16,666.30x = 182,536,769.85
  5. Step 5: Solve for x
    x = 182,536,769.85/16,666.30
  6. Step 6: Final answer
    x = 10,952.45

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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.