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Finding the Fourth Proportional to 17,091.60, 23,582.62 and 9,917.35

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Solution

The fourth proportional to 17,091.60, 23,582.62 and 9,917.35 is: 13,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.60 : 23,582.62 = 9,917.35 : x
  2. Step 2: Convert to fraction form
    17,091.60/23,582.62 = 9,917.35/x
  3. Step 3: Cross multiply
    17,091.60x = 23,582.62 × 9,917.35
  4. Step 4: Simplify right side
    17,091.60x = 233,877,096.46
  5. Step 5: Solve for x
    x = 233,877,096.46/17,091.60
  6. Step 6: Final answer
    x = 13,683.75

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