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Finding the Fourth Proportional to 13,407.92, 18,502.58 and 7,439.63

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Solution

The fourth proportional to 13,407.92, 18,502.58 and 7,439.63 is: 10,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.92 : 18,502.58 = 7,439.63 : x
  2. Step 2: Convert to fraction form
    13,407.92/18,502.58 = 7,439.63/x
  3. Step 3: Cross multiply
    13,407.92x = 18,502.58 × 7,439.63
  4. Step 4: Simplify right side
    13,407.92x = 137,652,219.53
  5. Step 5: Solve for x
    x = 137,652,219.53/13,407.92
  6. Step 6: Final answer
    x = 10,266.49

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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.