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Finding the Fourth Proportional to 14,163.42, 19,546.23 and 7,875.66

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Solution

The fourth proportional to 14,163.42, 19,546.23 and 7,875.66 is: 10,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.42 : 19,546.23 = 7,875.66 : x
  2. Step 2: Convert to fraction form
    14,163.42/19,546.23 = 7,875.66/x
  3. Step 3: Cross multiply
    14,163.42x = 19,546.23 × 7,875.66
  4. Step 4: Simplify right side
    14,163.42x = 153,939,461.76
  5. Step 5: Solve for x
    x = 153,939,461.76/14,163.42
  6. Step 6: Final answer
    x = 10,868.81

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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.