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Finding the Fourth Proportional to 10,326.60, 15,522.30 and 9,743.40

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Solution

The fourth proportional to 10,326.60, 15,522.30 and 9,743.40 is: 14,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.60 : 15,522.30 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    10,326.60/15,522.30 = 9,743.40/x
  3. Step 3: Cross multiply
    10,326.60x = 15,522.30 × 9,743.40
  4. Step 4: Simplify right side
    10,326.60x = 151,239,977.82
  5. Step 5: Solve for x
    x = 151,239,977.82/10,326.60
  6. Step 6: Final answer
    x = 14,645.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.