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Finding the Fourth Proportional to 14,303.36, 21,461.21 and 7,734.18

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Solution

The fourth proportional to 14,303.36, 21,461.21 and 7,734.18 is: 11,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.36 : 21,461.21 = 7,734.18 : x
  2. Step 2: Convert to fraction form
    14,303.36/21,461.21 = 7,734.18/x
  3. Step 3: Cross multiply
    14,303.36x = 21,461.21 × 7,734.18
  4. Step 4: Simplify right side
    14,303.36x = 165,984,822.49
  5. Step 5: Solve for x
    x = 165,984,822.49/14,303.36
  6. Step 6: Final answer
    x = 11,604.61

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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.