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Finding the Fourth Proportional to 17,658.50, 26,464.34 and 9,762.81

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Solution

The fourth proportional to 17,658.50, 26,464.34 and 9,762.81 is: 14,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.50 : 26,464.34 = 9,762.81 : x
  2. Step 2: Convert to fraction form
    17,658.50/26,464.34 = 9,762.81/x
  3. Step 3: Cross multiply
    17,658.50x = 26,464.34 × 9,762.81
  4. Step 4: Simplify right side
    17,658.50x = 258,366,274.38
  5. Step 5: Solve for x
    x = 258,366,274.38/17,658.50
  6. Step 6: Final answer
    x = 14,631.27

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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.