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Finding the Fourth Proportional to 14,263.14, 19,684.17 and 7,975.11

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Solution

The fourth proportional to 14,263.14, 19,684.17 and 7,975.11 is: 11,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.14 : 19,684.17 = 7,975.11 : x
  2. Step 2: Convert to fraction form
    14,263.14/19,684.17 = 7,975.11/x
  3. Step 3: Cross multiply
    14,263.14x = 19,684.17 × 7,975.11
  4. Step 4: Simplify right side
    14,263.14x = 156,983,421.01
  5. Step 5: Solve for x
    x = 156,983,421.01/14,263.14
  6. Step 6: Final answer
    x = 11,006.23

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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.