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Finding the Fourth Proportional to 12,023.32, 16,599.54 and 7,775.68

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Solution

The fourth proportional to 12,023.32, 16,599.54 and 7,775.68 is: 10,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.32 : 16,599.54 = 7,775.68 : x
  2. Step 2: Convert to fraction form
    12,023.32/16,599.54 = 7,775.68/x
  3. Step 3: Cross multiply
    12,023.32x = 16,599.54 × 7,775.68
  4. Step 4: Simplify right side
    12,023.32x = 129,072,711.19
  5. Step 5: Solve for x
    x = 129,072,711.19/12,023.32
  6. Step 6: Final answer
    x = 10,735.20

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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.