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Finding the Fourth Proportional to 12,005.64, 18,009.69 and 6,742.26

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Solution

The fourth proportional to 12,005.64, 18,009.69 and 6,742.26 is: 10,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.64 : 18,009.69 = 6,742.26 : x
  2. Step 2: Convert to fraction form
    12,005.64/18,009.69 = 6,742.26/x
  3. Step 3: Cross multiply
    12,005.64x = 18,009.69 × 6,742.26
  4. Step 4: Simplify right side
    12,005.64x = 121,426,012.50
  5. Step 5: Solve for x
    x = 121,426,012.50/12,005.64
  6. Step 6: Final answer
    x = 10,114.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.