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Finding the Fourth Proportional to 11,657.25, 17,486 and 9,332.04

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Solution

The fourth proportional to 11,657.25, 17,486 and 9,332.04 is: 13,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.25 : 17,486 = 9,332.04 : x
  2. Step 2: Convert to fraction form
    11,657.25/17,486 = 9,332.04/x
  3. Step 3: Cross multiply
    11,657.25x = 17,486 × 9,332.04
  4. Step 4: Simplify right side
    11,657.25x = 163,180,051.44
  5. Step 5: Solve for x
    x = 163,180,051.44/11,657.25
  6. Step 6: Final answer
    x = 13,998.16

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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.