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Finding the Fourth Proportional to 14,536.94, 21,812.42 and 7,137.38

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Solution

The fourth proportional to 14,536.94, 21,812.42 and 7,137.38 is: 10,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.94 : 21,812.42 = 7,137.38 : x
  2. Step 2: Convert to fraction form
    14,536.94/21,812.42 = 7,137.38/x
  3. Step 3: Cross multiply
    14,536.94x = 21,812.42 × 7,137.38
  4. Step 4: Simplify right side
    14,536.94x = 155,683,602.63
  5. Step 5: Solve for x
    x = 155,683,602.63/14,536.94
  6. Step 6: Final answer
    x = 10,709.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.