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Finding the Fourth Proportional to 14,804.16, 20,438.64 and 9,222.72

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Solution

The fourth proportional to 14,804.16, 20,438.64 and 9,222.72 is: 12,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.16 : 20,438.64 = 9,222.72 : x
  2. Step 2: Convert to fraction form
    14,804.16/20,438.64 = 9,222.72/x
  3. Step 3: Cross multiply
    14,804.16x = 20,438.64 × 9,222.72
  4. Step 4: Simplify right side
    14,804.16x = 188,499,853.90
  5. Step 5: Solve for x
    x = 188,499,853.90/14,804.16
  6. Step 6: Final answer
    x = 12,732.90

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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.