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Finding the Fourth Proportional to 12,415.64, 17,132.82 and 7,109.24

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Solution

The fourth proportional to 12,415.64, 17,132.82 and 7,109.24 is: 9,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.64 : 17,132.82 = 7,109.24 : x
  2. Step 2: Convert to fraction form
    12,415.64/17,132.82 = 7,109.24/x
  3. Step 3: Cross multiply
    12,415.64x = 17,132.82 × 7,109.24
  4. Step 4: Simplify right side
    12,415.64x = 121,801,329.26
  5. Step 5: Solve for x
    x = 121,801,329.26/12,415.64
  6. Step 6: Final answer
    x = 9,810.31

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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.