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Finding the Fourth Proportional to 13,429.95, 18,533.66 and 7,461.87

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Solution

The fourth proportional to 13,429.95, 18,533.66 and 7,461.87 is: 10,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.95 : 18,533.66 = 7,461.87 : x
  2. Step 2: Convert to fraction form
    13,429.95/18,533.66 = 7,461.87/x
  3. Step 3: Cross multiply
    13,429.95x = 18,533.66 × 7,461.87
  4. Step 4: Simplify right side
    13,429.95x = 138,295,724.23
  5. Step 5: Solve for x
    x = 138,295,724.23/13,429.95
  6. Step 6: Final answer
    x = 10,297.56

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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.