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Finding the Fourth Proportional to 13,720.64, 18,934.50 and 7,433

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Solution

The fourth proportional to 13,720.64, 18,934.50 and 7,433 is: 10,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.64 : 18,934.50 = 7,433 : x
  2. Step 2: Convert to fraction form
    13,720.64/18,934.50 = 7,433/x
  3. Step 3: Cross multiply
    13,720.64x = 18,934.50 × 7,433
  4. Step 4: Simplify right side
    13,720.64x = 140,740,138.50
  5. Step 5: Solve for x
    x = 140,740,138.50/13,720.64
  6. Step 6: Final answer
    x = 10,257.55

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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.