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Finding the Fourth Proportional to 16,700.19, 23,045.96 and 9,626.91

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Solution

The fourth proportional to 16,700.19, 23,045.96 and 9,626.91 is: 13,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.19 : 23,045.96 = 9,626.91 : x
  2. Step 2: Convert to fraction form
    16,700.19/23,045.96 = 9,626.91/x
  3. Step 3: Cross multiply
    16,700.19x = 23,045.96 × 9,626.91
  4. Step 4: Simplify right side
    16,700.19x = 221,861,334.65
  5. Step 5: Solve for x
    x = 221,861,334.65/16,700.19
  6. Step 6: Final answer
    x = 13,284.96

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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.