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Finding the Fourth Proportional to 14,407.24, 19,883.80 and 8,441.18

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Solution

The fourth proportional to 14,407.24, 19,883.80 and 8,441.18 is: 11,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.24 : 19,883.80 = 8,441.18 : x
  2. Step 2: Convert to fraction form
    14,407.24/19,883.80 = 8,441.18/x
  3. Step 3: Cross multiply
    14,407.24x = 19,883.80 × 8,441.18
  4. Step 4: Simplify right side
    14,407.24x = 167,842,734.88
  5. Step 5: Solve for x
    x = 167,842,734.88/14,407.24
  6. Step 6: Final answer
    x = 11,649.89

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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.