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Finding the Fourth Proportional to 12,938.40, 19,409.10 and 4,174.20

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Solution

The fourth proportional to 12,938.40, 19,409.10 and 4,174.20 is: 6,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.40 : 19,409.10 = 4,174.20 : x
  2. Step 2: Convert to fraction form
    12,938.40/19,409.10 = 4,174.20/x
  3. Step 3: Cross multiply
    12,938.40x = 19,409.10 × 4,174.20
  4. Step 4: Simplify right side
    12,938.40x = 81,017,465.22
  5. Step 5: Solve for x
    x = 81,017,465.22/12,938.40
  6. Step 6: Final answer
    x = 6,261.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.