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Finding the Fourth Proportional to 16,876.32, 23,289.93 and 9,802.38

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Solution

The fourth proportional to 16,876.32, 23,289.93 and 9,802.38 is: 13,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.32 : 23,289.93 = 9,802.38 : x
  2. Step 2: Convert to fraction form
    16,876.32/23,289.93 = 9,802.38/x
  3. Step 3: Cross multiply
    16,876.32x = 23,289.93 × 9,802.38
  4. Step 4: Simplify right side
    16,876.32x = 228,296,744.03
  5. Step 5: Solve for x
    x = 228,296,744.03/16,876.32
  6. Step 6: Final answer
    x = 13,527.64

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Why These Related Problems?

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