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Finding the Fourth Proportional to 13,433.61, 18,538.36 and 7,465.86

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Solution

The fourth proportional to 13,433.61, 18,538.36 and 7,465.86 is: 10,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.61 : 18,538.36 = 7,465.86 : x
  2. Step 2: Convert to fraction form
    13,433.61/18,538.36 = 7,465.86/x
  3. Step 3: Cross multiply
    13,433.61x = 18,538.36 × 7,465.86
  4. Step 4: Simplify right side
    13,433.61x = 138,404,800.39
  5. Step 5: Solve for x
    x = 138,404,800.39/13,433.61
  6. Step 6: Final answer
    x = 10,302.87

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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.