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Finding the Fourth Proportional to 12,123.23, 16,729.72 and 7,346

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Solution

The fourth proportional to 12,123.23, 16,729.72 and 7,346 is: 10,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.23 : 16,729.72 = 7,346 : x
  2. Step 2: Convert to fraction form
    12,123.23/16,729.72 = 7,346/x
  3. Step 3: Cross multiply
    12,123.23x = 16,729.72 × 7,346
  4. Step 4: Simplify right side
    12,123.23x = 122,896,486.39
  5. Step 5: Solve for x
    x = 122,896,486.39/12,123.23
  6. Step 6: Final answer
    x = 10,137.27

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