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Finding the Fourth Proportional to 11,009.60, 16,514.40 and 9,187.10

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Solution

The fourth proportional to 11,009.60, 16,514.40 and 9,187.10 is: 13,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.60 : 16,514.40 = 9,187.10 : x
  2. Step 2: Convert to fraction form
    11,009.60/16,514.40 = 9,187.10/x
  3. Step 3: Cross multiply
    11,009.60x = 16,514.40 × 9,187.10
  4. Step 4: Simplify right side
    11,009.60x = 151,719,444.24
  5. Step 5: Solve for x
    x = 151,719,444.24/11,009.60
  6. Step 6: Final answer
    x = 13,780.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.