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Finding the Fourth Proportional to 14,163.06, 19,545.12 and 7,875.84

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Solution

The fourth proportional to 14,163.06, 19,545.12 and 7,875.84 is: 10,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.06 : 19,545.12 = 7,875.84 : x
  2. Step 2: Convert to fraction form
    14,163.06/19,545.12 = 7,875.84/x
  3. Step 3: Cross multiply
    14,163.06x = 19,545.12 × 7,875.84
  4. Step 4: Simplify right side
    14,163.06x = 153,934,237.90
  5. Step 5: Solve for x
    x = 153,934,237.90/14,163.06
  6. Step 6: Final answer
    x = 10,868.71

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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.