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Finding the Fourth Proportional to 11,864.08, 17,876.20 and 9,829.36

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Solution

The fourth proportional to 11,864.08, 17,876.20 and 9,829.36 is: 14,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.08 : 17,876.20 = 9,829.36 : x
  2. Step 2: Convert to fraction form
    11,864.08/17,876.20 = 9,829.36/x
  3. Step 3: Cross multiply
    11,864.08x = 17,876.20 × 9,829.36
  4. Step 4: Simplify right side
    11,864.08x = 175,711,605.23
  5. Step 5: Solve for x
    x = 175,711,605.23/11,864.08
  6. Step 6: Final answer
    x = 14,810.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.