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Finding the Fourth Proportional to 13,433.54, 18,538.47 and 7,465.10

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Solution

The fourth proportional to 13,433.54, 18,538.47 and 7,465.10 is: 10,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.54 : 18,538.47 = 7,465.10 : x
  2. Step 2: Convert to fraction form
    13,433.54/18,538.47 = 7,465.10/x
  3. Step 3: Cross multiply
    13,433.54x = 18,538.47 × 7,465.10
  4. Step 4: Simplify right side
    13,433.54x = 138,391,532.40
  5. Step 5: Solve for x
    x = 138,391,532.40/13,433.54
  6. Step 6: Final answer
    x = 10,301.94

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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.