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Finding the Fourth Proportional to 14,970.14, 20,658.50 and 8,256.38

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Solution

The fourth proportional to 14,970.14, 20,658.50 and 8,256.38 is: 11,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.14 : 20,658.50 = 8,256.38 : x
  2. Step 2: Convert to fraction form
    14,970.14/20,658.50 = 8,256.38/x
  3. Step 3: Cross multiply
    14,970.14x = 20,658.50 × 8,256.38
  4. Step 4: Simplify right side
    14,970.14x = 170,564,436.59
  5. Step 5: Solve for x
    x = 170,564,436.59/14,970.14
  6. Step 6: Final answer
    x = 11,393.65

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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.