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Finding the Fourth Proportional to 11,865.08, 17,877.71 and 9,830.36

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Solution

The fourth proportional to 11,865.08, 17,877.71 and 9,830.36 is: 14,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.08 : 17,877.71 = 9,830.36 : x
  2. Step 2: Convert to fraction form
    11,865.08/17,877.71 = 9,830.36/x
  3. Step 3: Cross multiply
    11,865.08x = 17,877.71 × 9,830.36
  4. Step 4: Simplify right side
    11,865.08x = 175,744,325.28
  5. Step 5: Solve for x
    x = 175,744,325.28/11,865.08
  6. Step 6: Final answer
    x = 14,811.90

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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.