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Finding the Fourth Proportional to 14,417, 19,895.46 and 7,793

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Solution

The fourth proportional to 14,417, 19,895.46 and 7,793 is: 10,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417 : 19,895.46 = 7,793 : x
  2. Step 2: Convert to fraction form
    14,417/19,895.46 = 7,793/x
  3. Step 3: Cross multiply
    14,417x = 19,895.46 × 7,793
  4. Step 4: Simplify right side
    14,417x = 155,045,319.78
  5. Step 5: Solve for x
    x = 155,045,319.78/14,417
  6. Step 6: Final answer
    x = 10,754.34

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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.