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Finding the Fourth Proportional to 13,429.49, 18,532.68 and 7,461.71

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Solution

The fourth proportional to 13,429.49, 18,532.68 and 7,461.71 is: 10,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.49 : 18,532.68 = 7,461.71 : x
  2. Step 2: Convert to fraction form
    13,429.49/18,532.68 = 7,461.71/x
  3. Step 3: Cross multiply
    13,429.49x = 18,532.68 × 7,461.71
  4. Step 4: Simplify right side
    13,429.49x = 138,285,483.68
  5. Step 5: Solve for x
    x = 138,285,483.68/13,429.49
  6. Step 6: Final answer
    x = 10,297.15

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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.