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Finding the Fourth Proportional to 14,017.56, 19,344.18 and 7,730.28

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Solution

The fourth proportional to 14,017.56, 19,344.18 and 7,730.28 is: 10,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.56 : 19,344.18 = 7,730.28 : x
  2. Step 2: Convert to fraction form
    14,017.56/19,344.18 = 7,730.28/x
  3. Step 3: Cross multiply
    14,017.56x = 19,344.18 × 7,730.28
  4. Step 4: Simplify right side
    14,017.56x = 149,535,927.77
  5. Step 5: Solve for x
    x = 149,535,927.77/14,017.56
  6. Step 6: Final answer
    x = 10,667.76

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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.