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Finding the Fourth Proportional to 16,758.50, 23,126.74 and 9,306.50

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Solution

The fourth proportional to 16,758.50, 23,126.74 and 9,306.50 is: 12,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.50 : 23,126.74 = 9,306.50 : x
  2. Step 2: Convert to fraction form
    16,758.50/23,126.74 = 9,306.50/x
  3. Step 3: Cross multiply
    16,758.50x = 23,126.74 × 9,306.50
  4. Step 4: Simplify right side
    16,758.50x = 215,229,005.81
  5. Step 5: Solve for x
    x = 215,229,005.81/16,758.50
  6. Step 6: Final answer
    x = 12,842.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.