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Finding the Fourth Proportional to 14,527, 20,047.26 and 7,903

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Solution

The fourth proportional to 14,527, 20,047.26 and 7,903 is: 10,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527 : 20,047.26 = 7,903 : x
  2. Step 2: Convert to fraction form
    14,527/20,047.26 = 7,903/x
  3. Step 3: Cross multiply
    14,527x = 20,047.26 × 7,903
  4. Step 4: Simplify right side
    14,527x = 158,433,495.78
  5. Step 5: Solve for x
    x = 158,433,495.78/14,527
  6. Step 6: Final answer
    x = 10,906.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.