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Finding the Fourth Proportional to 12,146, 16,764.48 and 7,434.28

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Solution

The fourth proportional to 12,146, 16,764.48 and 7,434.28 is: 10,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 16,764.48 = 7,434.28 : x
  2. Step 2: Convert to fraction form
    12,146/16,764.48 = 7,434.28/x
  3. Step 3: Cross multiply
    12,146x = 16,764.48 × 7,434.28
  4. Step 4: Simplify right side
    12,146x = 124,631,838.37
  5. Step 5: Solve for x
    x = 124,631,838.37/12,146
  6. Step 6: Final answer
    x = 10,261.14

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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.