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Finding the Fourth Proportional to 12,807.05, 17,675.86 and 7,432.67

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Solution

The fourth proportional to 12,807.05, 17,675.86 and 7,432.67 is: 10,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.05 : 17,675.86 = 7,432.67 : x
  2. Step 2: Convert to fraction form
    12,807.05/17,675.86 = 7,432.67/x
  3. Step 3: Cross multiply
    12,807.05x = 17,675.86 × 7,432.67
  4. Step 4: Simplify right side
    12,807.05x = 131,378,901.76
  5. Step 5: Solve for x
    x = 131,378,901.76/12,807.05
  6. Step 6: Final answer
    x = 10,258.32

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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.