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Finding the Fourth Proportional to 11,582.80, 17,365.96 and 9,386.69

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Solution

The fourth proportional to 11,582.80, 17,365.96 and 9,386.69 is: 14,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.80 : 17,365.96 = 9,386.69 : x
  2. Step 2: Convert to fraction form
    11,582.80/17,365.96 = 9,386.69/x
  3. Step 3: Cross multiply
    11,582.80x = 17,365.96 × 9,386.69
  4. Step 4: Simplify right side
    11,582.80x = 163,008,883.07
  5. Step 5: Solve for x
    x = 163,008,883.07/11,582.80
  6. Step 6: Final answer
    x = 14,073.36

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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.