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Finding the Fourth Proportional to 13,385.51, 18,471.72 and 7,416.82

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Solution

The fourth proportional to 13,385.51, 18,471.72 and 7,416.82 is: 10,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.51 : 18,471.72 = 7,416.82 : x
  2. Step 2: Convert to fraction form
    13,385.51/18,471.72 = 7,416.82/x
  3. Step 3: Cross multiply
    13,385.51x = 18,471.72 × 7,416.82
  4. Step 4: Simplify right side
    13,385.51x = 137,001,422.33
  5. Step 5: Solve for x
    x = 137,001,422.33/13,385.51
  6. Step 6: Final answer
    x = 10,235.05

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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.