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Finding the Fourth Proportional to 14,106.76, 19,472.38 and 9,627.31

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Solution

The fourth proportional to 14,106.76, 19,472.38 and 9,627.31 is: 13,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.76 : 19,472.38 = 9,627.31 : x
  2. Step 2: Convert to fraction form
    14,106.76/19,472.38 = 9,627.31/x
  3. Step 3: Cross multiply
    14,106.76x = 19,472.38 × 9,627.31
  4. Step 4: Simplify right side
    14,106.76x = 187,466,638.70
  5. Step 5: Solve for x
    x = 187,466,638.70/14,106.76
  6. Step 6: Final answer
    x = 13,289.14

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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.