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Finding the Fourth Proportional to 12,674.40, 19,013.76 and 6,434.16

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Solution

The fourth proportional to 12,674.40, 19,013.76 and 6,434.16 is: 9,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.40 : 19,013.76 = 6,434.16 : x
  2. Step 2: Convert to fraction form
    12,674.40/19,013.76 = 6,434.16/x
  3. Step 3: Cross multiply
    12,674.40x = 19,013.76 × 6,434.16
  4. Step 4: Simplify right side
    12,674.40x = 122,337,574.04
  5. Step 5: Solve for x
    x = 122,337,574.04/12,674.40
  6. Step 6: Final answer
    x = 9,652.34

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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.