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Finding the Fourth Proportional to 17,907.28, 26,852.64 and 9,585.84

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Solution

The fourth proportional to 17,907.28, 26,852.64 and 9,585.84 is: 14,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.28 : 26,852.64 = 9,585.84 : x
  2. Step 2: Convert to fraction form
    17,907.28/26,852.64 = 9,585.84/x
  3. Step 3: Cross multiply
    17,907.28x = 26,852.64 × 9,585.84
  4. Step 4: Simplify right side
    17,907.28x = 257,405,110.62
  5. Step 5: Solve for x
    x = 257,405,110.62/17,907.28
  6. Step 6: Final answer
    x = 14,374.33

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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.