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Finding the Fourth Proportional to 14,033.84, 19,366.20 and 7,746.20

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Solution

The fourth proportional to 14,033.84, 19,366.20 and 7,746.20 is: 10,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.84 : 19,366.20 = 7,746.20 : x
  2. Step 2: Convert to fraction form
    14,033.84/19,366.20 = 7,746.20/x
  3. Step 3: Cross multiply
    14,033.84x = 19,366.20 × 7,746.20
  4. Step 4: Simplify right side
    14,033.84x = 150,014,458.44
  5. Step 5: Solve for x
    x = 150,014,458.44/14,033.84
  6. Step 6: Final answer
    x = 10,689.48

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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.