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Finding the Fourth Proportional to 16,819.57, 23,210.71 and 9,746.65

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Solution

The fourth proportional to 16,819.57, 23,210.71 and 9,746.65 is: 13,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.57 : 23,210.71 = 9,746.65 : x
  2. Step 2: Convert to fraction form
    16,819.57/23,210.71 = 9,746.65/x
  3. Step 3: Cross multiply
    16,819.57x = 23,210.71 × 9,746.65
  4. Step 4: Simplify right side
    16,819.57x = 226,226,666.62
  5. Step 5: Solve for x
    x = 226,226,666.62/16,819.57
  6. Step 6: Final answer
    x = 13,450.21

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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.