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Finding the Fourth Proportional to 14,133.86, 19,493.86 and 10,355.66

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Solution

The fourth proportional to 14,133.86, 19,493.86 and 10,355.66 is: 14,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.86 : 19,493.86 = 10,355.66 : x
  2. Step 2: Convert to fraction form
    14,133.86/19,493.86 = 10,355.66/x
  3. Step 3: Cross multiply
    14,133.86x = 19,493.86 × 10,355.66
  4. Step 4: Simplify right side
    14,133.86x = 201,871,786.25
  5. Step 5: Solve for x
    x = 201,871,786.25/14,133.86
  6. Step 6: Final answer
    x = 14,282.85

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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.