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Finding the Fourth Proportional to 13,385.25, 18,471.63 and 7,416.87

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Solution

The fourth proportional to 13,385.25, 18,471.63 and 7,416.87 is: 10,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.25 : 18,471.63 = 7,416.87 : x
  2. Step 2: Convert to fraction form
    13,385.25/18,471.63 = 7,416.87/x
  3. Step 3: Cross multiply
    13,385.25x = 18,471.63 × 7,416.87
  4. Step 4: Simplify right side
    13,385.25x = 137,001,678.40
  5. Step 5: Solve for x
    x = 137,001,678.40/13,385.25
  6. Step 6: Final answer
    x = 10,235.27

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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.