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Finding the Fourth Proportional to 13,659.64, 18,852.18 and 7,693.72

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Solution

The fourth proportional to 13,659.64, 18,852.18 and 7,693.72 is: 10,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.64 : 18,852.18 = 7,693.72 : x
  2. Step 2: Convert to fraction form
    13,659.64/18,852.18 = 7,693.72/x
  3. Step 3: Cross multiply
    13,659.64x = 18,852.18 × 7,693.72
  4. Step 4: Simplify right side
    13,659.64x = 145,043,394.31
  5. Step 5: Solve for x
    x = 145,043,394.31/13,659.64
  6. Step 6: Final answer
    x = 10,618.39

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Why These Related Problems?

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