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Finding the Fourth Proportional to 16,002.50, 23,996.08 and 7,561.98

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Solution

The fourth proportional to 16,002.50, 23,996.08 and 7,561.98 is: 11,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.50 : 23,996.08 = 7,561.98 : x
  2. Step 2: Convert to fraction form
    16,002.50/23,996.08 = 7,561.98/x
  3. Step 3: Cross multiply
    16,002.50x = 23,996.08 × 7,561.98
  4. Step 4: Simplify right side
    16,002.50x = 181,457,898.31
  5. Step 5: Solve for x
    x = 181,457,898.31/16,002.50
  6. Step 6: Final answer
    x = 11,339.35

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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.