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Finding the Fourth Proportional to 13,403.30, 18,495.74 and 7,434.61

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Solution

The fourth proportional to 13,403.30, 18,495.74 and 7,434.61 is: 10,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.30 : 18,495.74 = 7,434.61 : x
  2. Step 2: Convert to fraction form
    13,403.30/18,495.74 = 7,434.61/x
  3. Step 3: Cross multiply
    13,403.30x = 18,495.74 × 7,434.61
  4. Step 4: Simplify right side
    13,403.30x = 137,508,585.91
  5. Step 5: Solve for x
    x = 137,508,585.91/13,403.30
  6. Step 6: Final answer
    x = 10,259.31

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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.