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Finding the Fourth Proportional to 13,597.40, 18,778.67 and 9,359.40

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Solution

The fourth proportional to 13,597.40, 18,778.67 and 9,359.40 is: 12,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.40 : 18,778.67 = 9,359.40 : x
  2. Step 2: Convert to fraction form
    13,597.40/18,778.67 = 9,359.40/x
  3. Step 3: Cross multiply
    13,597.40x = 18,778.67 × 9,359.40
  4. Step 4: Simplify right side
    13,597.40x = 175,757,037.20
  5. Step 5: Solve for x
    x = 175,757,037.20/13,597.40
  6. Step 6: Final answer
    x = 12,925.79

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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.