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Finding the Fourth Proportional to 11,903.24, 17,852.30 and 7,514.84

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Solution

The fourth proportional to 11,903.24, 17,852.30 and 7,514.84 is: 11,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.24 : 17,852.30 = 7,514.84 : x
  2. Step 2: Convert to fraction form
    11,903.24/17,852.30 = 7,514.84/x
  3. Step 3: Cross multiply
    11,903.24x = 17,852.30 × 7,514.84
  4. Step 4: Simplify right side
    11,903.24x = 134,157,178.13
  5. Step 5: Solve for x
    x = 134,157,178.13/11,903.24
  6. Step 6: Final answer
    x = 11,270.64

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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.