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Finding the Fourth Proportional to 12,675.60, 17,456.04 and 9,133.20

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Solution

The fourth proportional to 12,675.60, 17,456.04 and 9,133.20 is: 12,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.60 : 17,456.04 = 9,133.20 : x
  2. Step 2: Convert to fraction form
    12,675.60/17,456.04 = 9,133.20/x
  3. Step 3: Cross multiply
    12,675.60x = 17,456.04 × 9,133.20
  4. Step 4: Simplify right side
    12,675.60x = 159,429,504.53
  5. Step 5: Solve for x
    x = 159,429,504.53/12,675.60
  6. Step 6: Final answer
    x = 12,577.67

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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.