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Finding the Fourth Proportional to 11,066.51, 16,584.14 and 9,416.54

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Solution

The fourth proportional to 11,066.51, 16,584.14 and 9,416.54 is: 14,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.51 : 16,584.14 = 9,416.54 : x
  2. Step 2: Convert to fraction form
    11,066.51/16,584.14 = 9,416.54/x
  3. Step 3: Cross multiply
    11,066.51x = 16,584.14 × 9,416.54
  4. Step 4: Simplify right side
    11,066.51x = 156,165,282.68
  5. Step 5: Solve for x
    x = 156,165,282.68/11,066.51
  6. Step 6: Final answer
    x = 14,111.52

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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.