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Finding the Fourth Proportional to 14,017.64, 19,344.76 and 7,730.42

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Solution

The fourth proportional to 14,017.64, 19,344.76 and 7,730.42 is: 10,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.64 : 19,344.76 = 7,730.42 : x
  2. Step 2: Convert to fraction form
    14,017.64/19,344.76 = 7,730.42/x
  3. Step 3: Cross multiply
    14,017.64x = 19,344.76 × 7,730.42
  4. Step 4: Simplify right side
    14,017.64x = 149,543,119.60
  5. Step 5: Solve for x
    x = 149,543,119.60/14,017.64
  6. Step 6: Final answer
    x = 10,668.21

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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.