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Finding the Fourth Proportional to 13,403.64, 18,495.54 and 7,433.82

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Solution

The fourth proportional to 13,403.64, 18,495.54 and 7,433.82 is: 10,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.64 : 18,495.54 = 7,433.82 : x
  2. Step 2: Convert to fraction form
    13,403.64/18,495.54 = 7,433.82/x
  3. Step 3: Cross multiply
    13,403.64x = 18,495.54 × 7,433.82
  4. Step 4: Simplify right side
    13,403.64x = 137,492,417.93
  5. Step 5: Solve for x
    x = 137,492,417.93/13,403.64
  6. Step 6: Final answer
    x = 10,257.84

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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.