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Finding the Fourth Proportional to 13,162.74, 18,158.46 and 7,570.50

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Solution

The fourth proportional to 13,162.74, 18,158.46 and 7,570.50 is: 10,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.74 : 18,158.46 = 7,570.50 : x
  2. Step 2: Convert to fraction form
    13,162.74/18,158.46 = 7,570.50/x
  3. Step 3: Cross multiply
    13,162.74x = 18,158.46 × 7,570.50
  4. Step 4: Simplify right side
    13,162.74x = 137,468,621.43
  5. Step 5: Solve for x
    x = 137,468,621.43/13,162.74
  6. Step 6: Final answer
    x = 10,443.77

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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.