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Finding the Fourth Proportional to 13,765.86, 19,003.14 and 10,409.22

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Solution

The fourth proportional to 13,765.86, 19,003.14 and 10,409.22 is: 14,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.86 : 19,003.14 = 10,409.22 : x
  2. Step 2: Convert to fraction form
    13,765.86/19,003.14 = 10,409.22/x
  3. Step 3: Cross multiply
    13,765.86x = 19,003.14 × 10,409.22
  4. Step 4: Simplify right side
    13,765.86x = 197,807,864.95
  5. Step 5: Solve for x
    x = 197,807,864.95/13,765.86
  6. Step 6: Final answer
    x = 14,369.45

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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.