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Finding the Fourth Proportional to 13,015.50, 17,964.63 and 7,429.74

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Solution

The fourth proportional to 13,015.50, 17,964.63 and 7,429.74 is: 10,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.50 : 17,964.63 = 7,429.74 : x
  2. Step 2: Convert to fraction form
    13,015.50/17,964.63 = 7,429.74/x
  3. Step 3: Cross multiply
    13,015.50x = 17,964.63 × 7,429.74
  4. Step 4: Simplify right side
    13,015.50x = 133,472,530.10
  5. Step 5: Solve for x
    x = 133,472,530.10/13,015.50
  6. Step 6: Final answer
    x = 10,254.89

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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.