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Finding the Fourth Proportional to 14,123.82, 19,486.92 and 8,824.02

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Solution

The fourth proportional to 14,123.82, 19,486.92 and 8,824.02 is: 12,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.82 : 19,486.92 = 8,824.02 : x
  2. Step 2: Convert to fraction form
    14,123.82/19,486.92 = 8,824.02/x
  3. Step 3: Cross multiply
    14,123.82x = 19,486.92 × 8,824.02
  4. Step 4: Simplify right side
    14,123.82x = 171,952,971.82
  5. Step 5: Solve for x
    x = 171,952,971.82/14,123.82
  6. Step 6: Final answer
    x = 12,174.68

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1.5x scale

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.