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Finding the Fourth Proportional to 14,017.96, 19,344.84 and 7,730.32

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Solution

The fourth proportional to 14,017.96, 19,344.84 and 7,730.32 is: 10,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.96 : 19,344.84 = 7,730.32 : x
  2. Step 2: Convert to fraction form
    14,017.96/19,344.84 = 7,730.32/x
  3. Step 3: Cross multiply
    14,017.96x = 19,344.84 × 7,730.32
  4. Step 4: Simplify right side
    14,017.96x = 149,541,803.55
  5. Step 5: Solve for x
    x = 149,541,803.55/14,017.96
  6. Step 6: Final answer
    x = 10,667.87

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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.