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Finding the Fourth Proportional to 12,536.46, 18,812.50 and 11,368.57

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Solution

The fourth proportional to 12,536.46, 18,812.50 and 11,368.57 is: 17,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.46 : 18,812.50 = 11,368.57 : x
  2. Step 2: Convert to fraction form
    12,536.46/18,812.50 = 11,368.57/x
  3. Step 3: Cross multiply
    12,536.46x = 18,812.50 × 11,368.57
  4. Step 4: Simplify right side
    12,536.46x = 213,871,223.13
  5. Step 5: Solve for x
    x = 213,871,223.13/12,536.46
  6. Step 6: Final answer
    x = 17,059.94

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Why These Related Problems?

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