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Finding the Fourth Proportional to 16,666.29, 24,986.43 and 8,342.01

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Solution

The fourth proportional to 16,666.29, 24,986.43 and 8,342.01 is: 12,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.29 : 24,986.43 = 8,342.01 : x
  2. Step 2: Convert to fraction form
    16,666.29/24,986.43 = 8,342.01/x
  3. Step 3: Cross multiply
    16,666.29x = 24,986.43 × 8,342.01
  4. Step 4: Simplify right side
    16,666.29x = 208,437,048.92
  5. Step 5: Solve for x
    x = 208,437,048.92/16,666.29
  6. Step 6: Final answer
    x = 12,506.51

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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.