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Finding the Fourth Proportional to 16,876.65, 23,291.19 and 9,802.65

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Solution

The fourth proportional to 16,876.65, 23,291.19 and 9,802.65 is: 13,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.65 : 23,291.19 = 9,802.65 : x
  2. Step 2: Convert to fraction form
    16,876.65/23,291.19 = 9,802.65/x
  3. Step 3: Cross multiply
    16,876.65x = 23,291.19 × 9,802.65
  4. Step 4: Simplify right side
    16,876.65x = 228,315,383.65
  5. Step 5: Solve for x
    x = 228,315,383.65/16,876.65
  6. Step 6: Final answer
    x = 13,528.48

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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.